21. In The Neighborhood Of Mathematical Space (an Interview With Alexander V. Arhang who lived primarily in Russia and Poland; these included pavel Sergeevich Alexandroff(AV Arhangel'skii's mentor), pavel Samuelovich urysohn, and Andre http://at.yorku.ca/t/o/p/c/02.dir/4.htm

Back to the index page for this document. Previous section Next section In The Neighborhood of Mathematical Space (an interview with Alexander V. Arhangelskii), part 4, by Karen Shenfeld In his book Mathematical Thought from Ancient to Modern Times, American mathematician Morris Kline notes that no branch of mathematics, or even a major result, has arisen from the work of one man; at best, some decisive step may be credited to a single individual. The cumulative nature of the development of mathematics is especially evident in the history of non-Euclidean geometry. A complete account, such as Robert Bonola's Non-Euclidean Geometry, would have to consider the accomplishments of Gerolamo Saccheri (1667-1733), Georg S. Klugel (1739-1812), Heinrich Lambert (1728-1777), Ferdinand Karl Schweikart (1780-1859), and Carl Friedrich Gauss (1777-1855). By the age of 15, Gauss had apparently grasped the idea that there could be invented a logically consistent geometry that was different from Euclid's. He began work on the creation of such a geometry around 1813, and there is evidence that he was successful. But because he never published any fully developed mathematical exposition of his work, historians of mathematics do not credit him as the discoverer of non-Euclidean geometry. That honour is usually reserved for two mathematicians who independently achieved results about the same time: Janos Bolyai and N.I. Lobacevskii. There is some indication that Bolyai, a Hungarian, had realized his ideas on non-Euclidean geometry by 1825. In a letter to his father, the mathematician Wolfgang Farkas Bolyai, dated November 23, 1823, he wrote, "I have made such wonderful discoveries that I myself am lost in astonishment." He did not, however, publish his results - encapsulated in a 26-page paper entitled "The Science of Absolute Space" - until 1832. The first mathematician to publish a definitive work on non-Euclidean geometry was Nikolai Ivanovich Lobacevskii. His paper, "On the Foundations of Geometry," appeared in the Journal of the University of Kazan in 1829. He continued to develop and propagate his ideas in a series of papers, culminating in the "Pangeometrie" (1855), which he dictated as a blind old man who still retained his energy and strength of mind. He was, without doubt, Russia's first great mathematician.

22. BSHM: Abstracts -- D occupied with its fundamental problems, and after a break from 1913 to 1923 he returnedto topology under the influence of a much younger man, pavel urysohn. http://www.dcs.warwick.ac.uk/bshm/abstracts/D.html

The British Society for the History of Mathematics HOME About BSHM BSHM Council Join BSHM ... Search BSHM Abstracts A B C D ... Z These listings contain all abstracts that have appeared in BSHM Newsletters up to Newsletter 46. BSHM Abstracts - D Dadic, Zarko, ‘The earliest geometrical works of Marin Getaldic’, in R. Calinger (ed), Vita mathematica: historical research and integration with teaching , Washington: MAA 1996, 115-123 Institutional patterns developed during WW2 ledto the rise of new fields in applied mathematics. Established divisions and hierarchies underwent upheavals. A different persona emerged for the mathematician, exemplified by John von Neumann. Attempts to institutionalise applied mathematics in the US were resisted, though, and the subject remained marginalised in the international mathematical community until the 1970s. Dale, A. I. ‘Thomas Bayes’s work on infinite series’, Historia mathematica Apart from his published letter on the divergence of the series for log z!, Bayes left unpublished material on infinite series, here examined and related to the published work. The series received extensive investigation in a notebook; this investigation perhaps made Bayes aware of the divergence of the series for log z! Dalen, Dirk van, ‘Luitzen Egbertus Jan Brouwer’, I M James (ed)

23. Full Alphabetical Index Translate this page UV. Uhlenbeck, George (159*) Ulam, Stanislaw (295*) Ulugh Beg (327)Upton, Francis (59) urysohn, pavel (188*). Vacca, Giovanni (707 http://www.geocities.com/Heartland/Plains/4142/matematici.html

Completo Indice Alfabetico Cliccare su una lettera sottostante per andare a quel file. A B C D ... XYZ Cliccare sotto per andare agli indici alfabetici separati A B C D ... XYZ Il numero di parole nella biografia e' dato in parentesi. Un * indica che c'e' un ritratto. A Abbe , Ernst (602*) Abel , Niels Henrik (286*) Abraham bar Hiyya (240) Abraham, Max Abu Kamil Shuja (59) Abu'l-Wafa al'Buzjani (243) Ackermann , Wilhelm (196) Adams, John Couch Adams, Frank Adelard of Bath (89) Adler , August (114) Adrain , Robert (79) Aepinus , Franz (124) Agnesi , Maria (196*) Ahlfors , Lars (725*) Ahmed ibn Yusuf (60) Ahmes Aida Yasuaki (114) Aiken , Howard (94) Airy , George (313*) Aitken , Alexander (825*) Ajima , Chokuyen (144) Akhiezer , Naum Il'ich (248*) al'Battani , Abu Allah (194) al'Biruni , Abu Arrayhan (306*) al'Haitam , Abu Ali (269*) al'Kashi , Ghiyath (73) al'Khwarizmi , Abu (123*) Albanese , Giacomo (282) Albert of Saxony Albert, Abraham Adrian (121*) (158*) Alberti , Leone (181*) Alberto Magno, San (109*) Alcuin di York (237*) Aleksandrov , Pave (160*) Alembert , Jean d' (291*) Alexander , James (163) Amringe , Howard van (354*) Amsler , Jacob (82) Anassagora di Clazomenae (169) Anderson , Oskar (67) Andreev , Konstantin (117) Angeli , Stefano degli (234) Anstice , Robert (209) Antemio of Tralles (55) Antifone il Sofista (125) Apollonio di Perga (276) Appell , Paul (1377) Arago , Dominique (345*) Arbogasto , Louis (87) Arbuthnot , John (251*) Archimede di Siracusa (467*) Archita of Tarentum (103) Argand , Jean (81) Aristeo il Vecchio (44) Aristarco di Samo (183) Aristotele Arnauld , Antoine (179)

24. Famous Ukrainians The site provides links and comments to famous people of Ukrainian ancestry, particularly those known Category Regional Europe Ukraine Guides and Directories...... called Gauss' theorem; Ostogradsky gave its first published proof), Anatoli Skorokhod(as in the Skorokhod topology in probability), pavel urysohn (as in http://www2.uwindsor.ca/~hlynka/ukfam.html

Famous Ukrainians List The Famous Ukrainians List is a list of over three hundred people with links discussing their contributions. The people listed were either born in what are today's boundaries of Ukraine, or were/are of Ukrainian ancestry. The emphasis is on people who would be known OUTSIDE Ukraine within their particular area of specialization. This list is maintained by Dr. Myron Hlynka , Department of Mathematics and Statistics, University of Windsor, Windsor, Ontario, Canada. hlynka@uwindsor.ca If you are interested in the Mathematics and Statistics program at the University of Windsor, click HERE. The concept for The Famous Ukrainians Web Page came from the Montreal ukemonde (www.ukemonde.com) list of Montreal famous Ukrainians and from the nomination form of Dr. Roman Yereniuk for the World's hundred most important Ukrainians, as suggested in the Ukrainian Voice newspaper in December, 1999. In addition, an article in the Spring, 2000 issue of FORUM: A Ukrainian Review, (Number 101), written by Andrew Gregorovich, is titled "Hall of Fame of Ukraine." It is highly recommended. For general information on Forum magazine, see http://www.angelfire.com/folk/ufa/forum.html

25. This Page Is Dedicated To The City Of Odessa Mathematicians. This is a coauthor of the Krein-Mliman theorem.);David Oistrakh; Evgenij Petrov; pavel urysohn; Leonid Utesov. Home http://www.math.uci.edu/~sadovsky/odessa.html

Odessa-mama is an excellent site, with yet more links. A Geographic Note The city of Odessa is situated at the north coast of the Black Sea. It currently belongs to the Republic of Ukraine. Some Peculiar Facts The city is "properly" planned, so that, from above, it looks like a chessboard. The Potemkin Steps were built so that from the top of the steps: 1) only the flights are seen, and 2) the two vertical barriers, one on each side of the steps, seem parallel. The interior design of the Opera House (or the Opera Theatre) required thin gold sheets and the sharp skills of specially trained personnel. The building periodically sank and was restored, though not to full height. Some famous people born in Odessa Vladimir Arnol'd Isaak Babel Emil Gilels Aleksandr Glikberg (better known under his pen name, Sasha Cherny) George Gamow Il'ja Il'f Valentin Kataev David Milman (Attn.: Mathematicians. This is a co-author of the Krein-Mliman theorem.) David Oistrakh Evgenij Petrov Pavel Urysohn Leonid Utesov Home

26. Andrei Nikolaevich Kolmogorov Handwriting of AN Kolmogorov. PS Aleksandrov pavel Samuilovich urysohn. PSAleksandrov Luzin's Mathematical School AN Kolmogorov and PS Aleksandrov. http://kolmogorov.com/Kolmogorov.html

Andrei Nikolaevich Kolmogorov April 25, 1903 - October 20, 1987 Curriculum Vitae Biography Ph.D. students and descendants of A. N. Kolmogorov Russian Academy of Sciences (RAS) and Moscow State University (MSU) INTERNATIONAL CONFERENCE KOLMOGOROV AND CONTEMPORARY MATHEMATICS (Moscow, June 16 - 21, 2003) IN COMMEMORATION OF THE CENTENNIAL of Andrei Nikolaevich Kolmogorov (25.IV.1903 - 20.X.1987) Scopes and Themes The Conference will cover the main areas of A.N. Kolmogorov's scientific interests with an emphasis on his vision of Mathematics in its fundamental unity as well as recent developments in the fields: Dynamic Systems and Ergodic Theory Theory of Functions and Functional Analysis Theory of Probability and Mathematical Statistics Turbulence and Hydrodynamics Mathematical Logic and Theory of Complexity Geometry and Topology http://kolmogorov-100.mi.ras.ru International conference devoted to the hundredth anniversary of A.N. Kolmogorov's birth (Tambov, May 11-16, 2003 ) GENERAL PROBLEMS OF OPTIMAL CONTROL AND THEIR APPLICATIONS. (GPC-2003) The conference is devoted to memory of outstanding mathematician of modernity ... Third Annual Moscow Kolmogorov Readings - 2003 International Science Students Conference Kolmogorov Specialized Physics and Mathematics School - Internat #18, Moscow

27. Mathematics Authors/titles Mar 2002 Title On the quantum KazhdanLusztig functor Authors pavel Etingof, Adriano TitleDistance matrices, random metrics and urysohn space Authors A. Vershik (St http://arxiv.org/list/math/0203

Mathematics Authors and titles for Mar 2002 math.PR/0203001 abs pdf Title: A General Class of Estimators of Population Median Using Two Auxiliary Variables in Double Sampling Authors: Jack Allen Housila P. Singh Sarjinder Singh Florentin Smarandache Comments: 21 pages, 3 tables Subj-class: Probability Theory MSC-class: math.HO/0203002 abs html Title: Foundations of Mathematics Authors: G. J. Chaitin (IBM Research) Subj-class: History and Overview MSC-class: 03-03 (Primary) 01-02, 68Q30 (Secondary) math.QA/0203003 abs ps pdf other Title: On the quantum Kazhdan-Lusztig functor Authors: Pavel Etingof Adriano Moura Comments: 13 pages. New section added Subj-class: Quantum Algebra; Representation Theory MSC-class: math.QA/0203004 abs ps pdf other Title: Vertex algebras and the class algebras of wreath products Authors: Weiqiang Wang Comments: 25 pages, latex, minor changes, to appear in Proc. London Math. Soc Subj-class: Quantum Algebra; Representation Theory math.QA/0203005 abs ps pdf other Title: Holomorphic Vertex Operator Algebras of Small Central Charges Authors: C. Dong

28. Mathematics Authors/titles Apr 2000 Title RamseyMilman phenomenon, urysohn metric spaces, and extremely amenable VIquantization of generalized Kac-Moody algebras Authors pavel Etingof, David http://arxiv.org/list/math/0004

Mathematics Authors and titles for Apr 2000 math.CA/0004001 abs ps pdf other Title: An asymptotic expansion for a ratio of products of gamma functions Authors: Wolfgang Buehring Comments: 8 pages Subj-class: Classical Analysis and ODEs MSC-class: Journal-ref: math.AG/0004002 abs ps pdf other Title: Affine embeddings of homogeneous spaces Authors: I. V. Arzhantsev D. A. Timashev Comments: 18 pages, LaTeX 2e Subj-class: Algebraic Geometry; Rings and Algebras; Representation Theory MSC-class: math.AT/0004003 abs ps pdf other Title: Operads and algebraic homotopy Authors: Justin R. Smith Comments: Cleaned up some notation and added a clarifying diagram Subj-class: Algebraic Topology MSC-class: math.GT/0004004 abs ps pdf other Title: Quadratic forms of rank 1, closed zones and laminae Authors: Michel Deza Viatcheslav Grishukhin (2) ((1) Ecole Normale Superieure, Paris, (2) CEMI, Russian Academy of Sciences, Moscow) Comments: 6 pages, LaTeX Subj-class: Geometric Topology; Combinatorics MSC-class: 52C07 (Primary); 11H55 (Secondary) math.RA/0004005 abs ps pdf other Title: Matrix Theory over the Complex Quaternion Algebra Authors: Yongge Tian Comments: 15 pages, LaTex

29. Alexandroff Seminar On General Topology, History This seminar was the first regular meeting of developing Moscow topological school.It was organized in 1924 by pavel S. Alexandroff and pavel S. urysohn. http://mech.math.msu.su/~anyak/Alexandroff-seminar/history.htm

Alexandroff Seminar on General Topology History and General Information This seminar was the first regular meeting of developing Moscow topological school. It was organized in 1924 by Pavel S. Alexandroff and Pavel S. Urysohn. Starting from its first sessions, the most famous specialists in Topology and related fields participated in its work. Alexandroff supervised this seminar for a period of almost 60 years, until his death in 1982. In the period 1982-1983 the seminar was supervised by Yuri M. Smirnov. Since 1983 the seminar is supervised by Vitaly V. Fedorchuk , Head of Department of General Topology and Geometry of Moscow University. Nowadays this seminar, being the principal research seminar of Department of General Topology and Geometry, has actually grown from all-Moscow to all-Union scope, since it is frequently attended by scientists from different institutions of the Soviet Union (now Russia and CIS). Topologists from the World visiting Moscow do also take part in the seminar sessions and deliver lectures. The following Moscow topologists (beside the associates of the Department ) are active participants of the seminar: Alexander G. Yel'kin

30. August 17 in Georgia In 1920, Ray Chapman, hit in the head by Yanks' Carl Mays pitch, diesIn 1924, pavel S Paul urysohn, Russian mathematician, drowns at 26 In 1924 http://www.dailyalmanacs.com/almanac2/august/0817.html

On August 17... 229th day of year with 136 days left (Numerology = 7) Happy Birthday to: In 1586, Johann V Andreae, German vicar/writer (Christenburg) In 1601, Pierre de Fermat, mathematician who needed wider margins [or Aug 20] In 1686, Nicola Antonio Porpora, composer In 1720, Charles D J Eisen, French engraver/painter (Contes de La Fontaine) In 1775, Philippe Libon, composer In 1779, Franz de Paula Roser, composer In 1786, Davy Crockett, US, frontiersman/adventurer/politician (Alamo) In 1811, Johannes H Scholten, Dutch theologist (Free Will) In 1817, Joseph baron Kervyn de Lettenhove, Belgian Internal minister (1870-71) In 1819, James Henry Van Alen, Brig General (Union volunteers), died in 1886 In 1828, George William Warren, composer In 1834, Peter Benoit, Flemish composer/conductor (Leie/Rubens Cantata) In 1839, Hubert Platt Main, composer In 1839, Thijs [Matthijs] Maris, Dutch painter/etcher In 1840, Wilfrid Scawen Blunt, England, writer (Irish Land League) In 1841, Lu¡s NF Varela, Brazilian romantic poet

31. Russian Mathematical Surveys, Author Index: 1998-2002 6), 1135. Arkhangelskii AV, Tikhomirov VM pavel Samuilovich urysohn(18981924) Russian Mathematical Surveys, 1998, 53(5), 875. Arnol http://www.turpion.ru/php/aindex.phtml?jrnid=rm

32. A V Arkhangelskii 1. pavel Samuilovich urysohn (18981924) AV Arkhangelskii, VM Tikhomirov RussianMathematical Surveys, Volume 53(1998), Number 5, Pages 875-892. http://www.turpion.ru/php/author.phtml?authorid=8982

33. What Happened On This Day That Year - 1924 Tom Kendall, cricketer (14 wickets in Australia's 1st two Tests), dies 1924 pavel S Paul urysohn, Russian mathematician, drowns at 26 1927 Horace http://www22.brinkster.com/tdty/default.asp?dt=0817&cat=2

34. Volume 25, Number 1, 1999 Key words pointwise convergence, C p (x), gspace, Frechet-urysohn property, strictly PRESERVINGMAPPINGS IN THE HELM TOPOLOGY IN THE PLANE pavel Pyrih pyrih http://www.math.bas.bg/~serdica/n1_99.html

35. UV Index Uhlenbeck, Karen (1114*) Ulam, Stanislaw (1422*), Ulugh Beg (1219*) Umawi, Abu al(1014) Uqlidisi, Abu'l al(1028), Upton, Francis (359*) urysohn, pavel (1391*). http://math.ichb.ro/History/Indexes/UV.html

36. HJM, Vol. 28, No. 4, 2002 Napoli (Italy)} (degiova@matna2.dma.unina.it) and pavel Shumyatsky, Department ofHahnMazurkiewicz Theorem, as well as Alexandroff-urysohn characterization of http://www.math.uh.edu/~hjm/Vol28-4.html

HOUSTON JOURNAL OF MATHEMATICS Electronic Edition Vol. 28, No. 4, 2002 Editors Managing Editor : K. Kaiser (Houston) Houston Journal of Mathematics Courtesy of Professor M. F. Newman Photographer: Marie Colvill (Austral. Nat. Univ.) This issue is dedicated to the memory of Bernhard Neumann, who passed away on October 21st, 2002 in Canberra Australia. Professor Neumann was born in Berlin-Charlottenburg and died a few days after celebrating his 93rd birthday. Professor Neumann's mathematical stature, editorial expertise and general wisdom has been of great help to successive editors of the journal. He greatly helped the development of the journal and will be missed as both an editor and a friend. Contents Ulrich Albrecht, Modules with Morita-Equivalent Endomorphism Rings, pp. 665-681. ABSTRACT. Let A and B be modules, which are faithfully flat over their endomorphism ring. The categories of A-solvable and B-solvable modules coincide if and only if A and B are similar. While similar modules have Morita equivalent endomorphism rings, the failure of the converse raises the question which module-theoretic properties are shared by modules with equivalent endomorphism rings. This paper addresses this question by investigating equivalences between full subcategories of the categories of A- and B-solvable modules, respectively. In particular, every equivalence between the category of A-solvable and the category of B-solvable modules is induced by a Morita equivalence between E(A) and E(B) if A and B are faithfully flat as modules over their endomorphism ring. Several examples show that these results may fail without the faithfulness condition.

37. Contents Of CMUC 1999 (3) Camillo Costantini On a problem of Nogura about the product of Fr\'echeturysohn$\delimiter 426830A (Abstract, Full text (PS - 166 kB, PDF)) pavel Pyrih An http://www.emis.de/journals/CMUC/cmuc9903/cmuc9903.htm

Contents of CMUC 1999 (3) E. Ballico Vanishing of sections of vector bundles on 0-dimensional schemes. Comment.Math.Univ.Carolinae 40,3 (1999) 403-411. ( Abstract Full text (PS - 173 kB PDF) B.J. Gardner, Tim Stokes Closure rings. Comment.Math.Univ.Carolinae 40,3 (1999) 413-427. ( Abstract Full text (PS - 210 kB PDF) Melvin Henriksen, F.A. Smith The Bordalo order on a commutative ring. Comment.Math.Univ.Carolinae 40,3 (1999) 429-440. ( Abstract Full text (PS - 172 kB PDF) On a generalization of QI-rings. Comment.Math.Univ.Carolinae 40,3 (1999) 441-446. ( Abstract Full text (PS - 113 kB PDF) Joso Vukman An identity related to centralizers in semiprime rings. Comment.Math.Univ.Carolinae 40,3 (1999) 447-456. ( Abstract Full text (PS - 117 kB PDF) On blow-up and asymptotic behavior of solutions to a nonlinear parabolic equation of second order with nonlinear boundary conditions. Comment.Math.Univ.Carolinae 40,3 (1999) 457-475. ( Abstract Full text (PS - 231 kB PDF) Gary M. Lieberman Nonuniqueness for some linear oblique derivative problems for elliptic equations. Comment.Math.Univ.Carolinae 40,3 (1999) 477-481. (

38. Felix.unife.it/Root/d-Quellen/b-Quellen-05001-6000 pavel Samuilovic urysohn. Math. Intell. 12/4 (1990), 39. 5178 http://felix.unife.it/Root/d-Quellen/b-Quellen-05001-6000

39. Colloquia And Seminars 2002, 410PM, A. Vershik,POMI RAN, Petersburg and MSRI, Universal urysohn spaceand Mon, May 24 1999, 410PM, pavel Bleher, Indiana UniversityPurdue University http://www.math.ucdavis.edu/research/seminars?type=7&when=past

40. Www.math.niu.edu/~rusin/known-math/98/MSC.names Pave (18971942) Saks, Stanislaw (1897-1954) Post, Emil (1897-1965) Maeda, Fumitomo(1897-1979) Weinstein, Alexander (1898-1924) urysohn, pavel (1898-1957 http://www.math.niu.edu/~rusin/known-math/98/MSC.names

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