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 Grothendieck Topology:     more detail The Grothendieck Theory of Dessins d'Enfant by Leila Schneps, December, 1994 Algebraic Geometry for Associative Algebras (Pure and Applied Mathematics, Vol 232) by Freddy Van Oystaeyen, Freddy Van Oystaeyen, June, 2000 Counterexamples to "problÃ¨me des topologies" of Grothendieck by Jari Taskinen,

1. Grothendieck Topology - Wikipedia
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 Co-points 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/K-theory/0214/

9. A S HEAF-THEORETIC 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/K-theory/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.kyoto-u.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.mpi-sb.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.uni-linz.ac.at/research/category/risc/catlist/ortho-topos
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.uni-linz.ac.at/research/category/risc/catlist/ortho-topos

19. Www.risc.uni-linz.ac.at/research/category/risc/catlist/topos-useful
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.uni-linz.ac.at/research/category/risc/catlist/topos-useful

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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