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
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
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
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
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/
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
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
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
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
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
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
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
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
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
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
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