Home  Pure_And_Applied_Math  Grothendieck Topology 
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1. Grothendieck Topology  Wikipedia grothendieck topology. From Wikipedia, the free encyclopedia. A categorytogether with a grothendieck topology on it is called a site. http://www.wikipedia.org/wiki/Grothendieck_topology  

2. The Primitive Topology Of A Scheme  Walker (ResearchIndex) Abstract We define a grothendieck topology on the category of schemes whose associated sheaf theory coincides in many http://citeseer.nj.nec.com/walker98primitive.html  

3. Lambda Definability With Sums Via Grothendieck Logical Relations  Fiore, Simpso j 1 ; w k g 2 S This definition appears to be related to the notion of a grothendieck topology (Fiore and Simpson, 1999). http://citeseer.nj.nec.com/fiore99lambda.html  

4. Abstract:001108bm Suppose J is a grothendieck topology on C which is generated by the subcanonicalpretopology J' for which a family (C i D) is in J' if and only if the http://www.maths.usyd.edu.au:8000/u/stevel/auscat/abstracts/001108bm.html  

5. Points And Copoints In Formal Topology an hint of grothendieck topology we can introduce a relation http://www.math.unipd.it/~silvio/papers/FormalTopology/PointsCoPoints.pdf 
6. Week68 symmetries. Then there are *really* highpowered things like topoi ofsheaves on a category equipped with a grothendieck topology . http://math.ucr.edu/home/baez/week68.html  

7. Ultrapowers As Sheaves On A Category Of Ultrafilters 3.1. The grothendieck topology on U http://www.math.uu.se/~jonase/papers/ultra.pdf 
8. The Primitive Topology Of A Scheme, By Mark E. Walker We define a grothendieck topology on the category of schemes whose associatedsheaf theory coincides in many cases with that of the Zariski topology. http://www.math.uiuc.edu/Ktheory/0214/  

9. A S HEAFTHEORETIC VIEW OF LOOP SP A C ES grothendieck topology. The importance of both stacks and simplicial sheaves alone should http://emis.impa.br/journals/TAC/volumes/8/n19/n19.pdf 
10. Relative Cycles And Chow Sheaves, By Andrei Suslin And Vladimir Voevodsky a presheaf on the category of Noetherian schemes over S. Moreover this presheafturns out to be a sheaf in a grothendieck topology called the cdhtopology. http://www.math.uiuc.edu/Ktheory/0035/  

11. Research Topics Fujiwara, et al, gives a remedy for such a difficulty, changing virtually the topologicaltexture of spaces by means of grothendieck topology (in Fujiwara's http://www.kusm.kyotou.ac.jp/~kato/Research/topics.html  

12. CS 59/93 It is proven that a class of finite automata defines a grothendieck topology andthe conditions are developed when a set of states of an automation determines http://www.cs.ioc.ee/~bibi/resrep/cs/cs59.html  

13. Math.wesleyan.edu/~mhovey/archive/letter119 We prove the general theorem that internal equivalences of presheaves of groupoidswith respect to a grothendieck topology on Aff give rise to equivalences of http://math.wesleyan.edu/~mhovey/archive/letter119  

14. Academic Bibliography For Willaert, Luc 1995. Van Oystaeyen F., Willaert L.. grothendieck topology, coherentsheaves and Serre's theorem for schematic algebras.  In Journal http://lib.ua.ac.be/AB/a10529.html  

15. Overview The main idea of the paper is that relationships between systems can be expressedby a suitable grothendieck topology on the category of systems. http://www.mpisb.mpg.de/~sofronie/abstracts.html  

16. Www.lehigh.edu/~dmd1/h1017.txt Italy, vezzosi@dm.unibo.it Included gzipped .ps file ABSTRACT For a (semi)modelcategory M, we define a notion of a ''homotopy'' grothendieck topology on M http://www.lehigh.edu/~dmd1/h1017.txt  

17. Www.lehigh.edu/~dmd1/h117 IL 60208 rezk@math.nwu.edu November 3, 1998 We show that homotopy pullbacks of sheavesof simplicial sets over a grothendieck topology distribute over homotopy http://www.lehigh.edu/~dmd1/h117  

18. Www.risc.unilinz.ac.at/research/category/risc/catlist/orthotopos with respect to cones, generalising that of orthogonality with respect to maps andthe sheaf condition for a cover in a grothendieck topology 1. We say that http://www.risc.unilinz.ac.at/research/category/risc/catlist/orthotopos  

19. Www.risc.unilinz.ac.at/research/category/risc/catlist/toposuseful C be the corresponding category of elements (object = element q of Q/Z, morphisms(q,f) q q+f for f in Q+) and generate a grothendieck topology on C http://www.risc.unilinz.ac.at/research/category/risc/catlist/toposuseful  

20. Br.crashed.net/~loner/sheaves/topos1.txt respects. For one thing, for this grothendieck topology, a sheafis a functor which can be collated over each such cover. 1706 http://br.crashed.net/~loner/sheaves/topos1.txt  

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