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1. General Topology by Stephen Willard | |
Paperback: 384
Pages
(2004-02-27)
list price: US$22.95 -- used & new: US$11.99 (price subject to change: see help) Asin: 0486434796 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Among the best available reference introductions to general topology, this volume encompasses two broad areas of topology: "continuous topology," represented by sections on convergence, compactness, metrization and complete metric spaces, uniform spaces, and function spaces; and "geometric topology," covered by 9 sections on connectivity properties, topological characterization theorems, and homotopy theory. Includes 340 exercises. 1970 edition. 27 figures. Customer Reviews (10)
agonizing to use as a reference
Absolutely amazing!
A Great Beginning Text
A masterpiece
Excellent |
2. Schaum's Outline of General Topology by Seymour Lipschutz | |
Paperback: 256
Pages
(1968-06-01)
list price: US$18.95 -- used & new: US$9.99 (price subject to change: see help) Asin: 0070379882 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (9)
A Genuine Masterpiece Endowed with Eternal Beauty
Great Book
An excellent supplement for the learning of topology
Admiral Topology
General Topology |
3. Encyclopedia of General Topology by K.P. Hart, Jun-iti Nagata, J.E. Vaughan | |
Hardcover: 536
Pages
(2004-08-16)
list price: US$218.00 -- used & new: US$108.95 (price subject to change: see help) Asin: 0444503552 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description
Customer Reviews (1)
A good and expensive reference |
4. General Topology: Chapters 1-4 by Nicolas Bourbaki | |
Paperback: 452
Pages
(1998-09-18)
list price: US$74.95 -- used & new: US$55.14 (price subject to change: see help) Asin: 3540642412 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description This is the softcover reprint of the 1971 English translation of the first four chapters of Bourbaki’s Topologie Generale. It gives all basics of the subject, starting from definitions. Important classes of topological spaces are studied, and uniform structures are introduced and applied to topological groups. In addition, real numbers are constructed and their properties established. Customer Reviews (2)
a solid introduction
the book that the experts study i extend my thanks to mr. adamson for the recommendation.with the plethora of choices in study materials and a limited budget, i needed to narrow my scope and decide which text would best serve me. thanks again:-) ... Read more |
5. General Topology by John Leroy Kelley | |
Paperback: 314
Pages
(2008-09-10)
list price: US$25.95 -- used & new: US$20.00 (price subject to change: see help) Asin: 0923891552 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (6)
a splendid technical book
Generally great; a few annoyances
Topology with the analyst in mind!
May have been good in its day
The great classic of point set topology |
6. The General Topology of Dynamical Systems (Graduate Studies in the Mathematical Sciences, V. 1) by Ethan Akin | |
Hardcover: 261
Pages
(1993-03-29)
list price: US$42.00 -- used & new: US$76.00 (price subject to change: see help) Asin: 0821838008 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description |
7. Foundations of General Topology by W.J. Pervin | |
Hardcover:
Pages
(1964-12)
list price: US$12.95 Isbn: 0125509502 Canada | United Kingdom | Germany | France | Japan | |
8. Introduction to Topology: Third Edition by Bert Mendelson | |
Paperback: 224
Pages
(1990-07-01)
list price: US$10.95 -- used & new: US$6.44 (price subject to change: see help) Asin: 0486663523 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (13)
Awesome book!
Overhyped
very mindful of the student
Great book for self study
An amazing read! |
9. A General Topology Workbook by Iain T. Adamson | |
Paperback: 164
Pages
(1995-11-29)
list price: US$59.95 -- used & new: US$38.33 (price subject to change: see help) Asin: 081763844X Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (1)
A concentrated, intense way to learn general topology The Moore method has its defenders and detractors. It certainly encourages originality of thought and strict intellectual honesty. Students can find incredible reinforcment as they discover that they can indeed give original proofs of sometimes very difficult (and famous) results in general topology. The downside is that not as much material is covered as compared to a traditional course in general topology. Students who are hungry to get to the frontiers of research might become impatient because of this. This book does not follow the strict methodologies that we followed in our class, but instead reveals to the reader which results are true and then encourages their proof. Readers are also lead through the construction of examples and counterexamples, allowing them to gain more of the intuition needed for a thorough understanding of general topology. It is also a good book to use for independent study, as the answers to the results are given in the book (and this actually is the major portion of its bulk). ... Read more |
10. Introduction to General Topology by George L. Cain | |
Paperback:
Pages
(2001-10-07)
list price: US$84.00 -- used & new: US$29.80 (price subject to change: see help) Asin: 0201756110 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (2)
Good book, but overprized.
Be At One With The Topological Cosmos |
11. Counterexamples in Topology by Lynn Arthur Steen, J. Arthur Seebach Jr. | |
Paperback: 256
Pages
(1995-09-22)
list price: US$12.95 -- used & new: US$7.70 (price subject to change: see help) Asin: 048668735X Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (10)
Resource for deep knowledge of Point-Set Topology
Counterexamples in Topology
a veritable mine of information....
Essential if you want to be good in point set topology
a good book to combine with a regular textbook |
12. General Topology by Waclaw Sierpinski | |
Paperback: 304
Pages
(2000-03-06)
list price: US$12.95 -- used & new: US$140.67 (price subject to change: see help) Asin: 0486411486 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description |
13. General Topology (Sigma Series in Pure Mathematics) by Ryszard Engelking | |
Hardcover: 540
Pages
(1989-12)
-- used & new: US$213.52 (price subject to change: see help) Asin: 3885380064 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Customer Reviews (1)
An excellent reference book Finally, the Russian translation seems to be enriched with the comments of translators and more bibliography. ... Read more |
14. Modern General Topology (North-Holland Mathematical Library) by J.-I. Nagata | |
Hardcover: 522
Pages
(1985-11-15)
list price: US$271.00 -- used & new: US$266.06 (price subject to change: see help) Asin: 0444876553 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description |
15. Algebraic Topology (Volume 0) by Edwin H. Spanier | |
Paperback: 548
Pages
(1994-12-06)
list price: US$79.95 -- used & new: US$40.00 (price subject to change: see help) Asin: 0387944265 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (6)
Pioneering text
For reference ONLY After a brief introduction to set theory, general topology, and algebra, homotopy and the fundamental group are covered in Chapter 1. Categories and functors are defined, and some examples are given, but the reader will have to consult the literature for an in-depth discussion. Homotopy is introduced as an equivalence class of maps between topological pairs. Fixing a base point allows the author to define H-spaces, but he does not motivate the real need for using pointed spaces, namely as a way of obtaining the composition law for the loops in the fundamental group. By suitable use of the reduced join, reduced product, and reduced suspension, the author shows how to obtain H-groups and H co-groups. The fundamental group is defined in the last section of the chapter, and the author does clarify the non-uniqueness of the fundamental group based at different points of a path-connected space. Covering spaces and fibrations are discussed in the next chapter. The author does a fairly good job of discussing these, and does a very good job of motivating the definition of a fiber bundle as a generalized covering space where the "fiber" is not discrete. The fundamental group is used to classify covering spaces. In chapter 3 the author gets down to the task of computing the fundamental group of a space using polyhedra. Although this subject is intensely geometrical. only six diagrams are included in the discussion. Homology is introduced via a categorical approach in the next chapter. Singular homology on the category of topological pairs and simplicial homology on the category of simplicial pairs. The author begins the chapter with a nice intuitive discussion, but then quickly runs off to an extremely abstract definition-theorem-proof treatment of homology theory. The discussion reads like one straight out of a book on homological algebra. This approach is even more apparent in the next chapter, where homology theory is extended to general coefficient groups. The Steenrod squaring operations, which have a beautiful geometric interpretation, are instead treated in this chapter as cohomology operations. The logic used is impeccable but the real understanding gained is severely lacking. General cohomology theory is treated in the next chapter with the duality between homology and cohomology investigated via the slant product. Characteristic classes, so important in applications, are discussed using algebraic constructions via the cup product and Steenrod squares. Characteristic classes do have a nice geometric interpretation, but this is totally masked in the discussion here. The higher homotopy groups and CW complexesare discussed in Chapter 7, but again, the functorial approach used here totally obscures the underlying geometrical constructions. Obstruction theory is the subject of Chapter8, with Eilenberg-Maclane spaces leading off the discussion. The author does give some motivation in the first few paragraphs on how obstructions arise as an impediment to a lifting of a map, but an explicit, concrete example is what is needed here. The last chapter covers spectral sequences as applied to homotopy groups of spheres. More homological algebra again, and the same material could be obtained (and in more detail) in a book on that subject.
Definitely not for beginners
Excellent reference, poor textbook That said, if you already know the subject Spanier'sbook is an excellent reference. Even here, though, you'll need to providesome details toward the ends of the later chapters. Each chapter starts outrelatively easily and works up to a crescendo, the treatment becomingterser and more advanced. I give it four stars (5 for mathematicalquality, 3 for usefulness as a text). The first three chapters deal withcovering spaces and fibrations; the middle three with (co)homology andduality; the last three with general homotopy theory, obstruction theory,and spectral sequences. Some of Serre's classical results on finitenesstheorems for homotopy groups are presented.
Excellent reference, poor textbook That said, if you already know the subject Spanier'sbook is an excellent reference.Even here, though, you'll need to providesome details toward the ends of the later chapters.Each chapter startsout relatively easily and works up to a crescendo, the treatment becomingterser and more advanced. I give it four stars (5 for mathematicalquality, 3 for usefulness as a text).The first three chapters deal withcovering spaces and fibrations; the middle three with (co)homology andduality; the last three with general homotopy theory, obstruction theory,and spectral sequences.Some of Serre's classical results on finitenesstheorems for homotopy groups are presented. ... Read more |
16. General Topology (Undergraduate Texts in Mathematics) by J. Dixmier | |
Paperback: 140
Pages
(2010-11-02)
list price: US$64.95 -- used & new: US$48.50 (price subject to change: see help) Asin: 1441928235 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Customer Reviews (1)
Efficient. |
17. Handbook of the History of General Topology (History of Topology) | |
Hardcover: 414
Pages
(2001-12-01)
list price: US$219.00 -- used & new: US$171.83 (price subject to change: see help) Asin: 079236970X Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description |
18. Topology (2nd Edition) by James Munkres | |
Hardcover: 537
Pages
(2000-01-07)
list price: US$141.33 -- used & new: US$118.72 (price subject to change: see help) Asin: 0131816292 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (32)
How good can a textbookbe?
Excellent
Incredible textbook
came in good condition
Well written, but not interesting. |
19. General topology by M. G Murdeshwar | |
Hardcover: 369
Pages
(1983)
Isbn: 0470269162 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description |
20. Undergraduate Topology by Robert H. Kasriel | |
Paperback: 304
Pages
(2009-10-22)
list price: US$14.95 -- used & new: US$9.59 (price subject to change: see help) Asin: 0486474194 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description General topology offers a valuable tool to students of mathematics, particularly in such courses as complex, real, and functional analysis. This introductory treatment is essentially self-contained and features explanations and proofs that relate to every practical aspect of point set topology. Hundreds of exercises appear throughout the text. 1971 edition. Customer Reviews (2)
A Classic Work in Topology for The Undergraduate and Me, the Amateur!
a great complement to any intro analysis or topology course |
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