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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 "problème des topologies" of Grothendieck by Jari Taskinen, 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 "problème des topologies" of Grothendieck by Jari Taskinen,

21. Br.crashed.net/~akrowne/math/sheaves.txt
    nerdy2 (and because of (3), we require our category to have pullbacks to applythis defn) 022557 nerdy2 so in particular, a grothendieck topology on a  
    http://br.crashed.net/~akrowne/math/sheaves.txt

22. Felix.unife.it/Root/d-Mathematics/d-Algebraic-geometry/t-Categories-in-algebraic
    can be applied to define a canonical functor from an analytic category to the categoryof locales, which is a special type of grothendieck topology (ie framed  
    http://felix.unife.it/Root/d-Mathematics/d-Algebraic-geometry/t-Categories-in-al

23. Re: Category Theory
    the characteristic p case and other such theories For example, instead of justhaving a set theoretic topology, one uses a grothendieck topology defined in  
    http://www.mail-archive.com/haskell@haskell.org/msg02882.html

24. Regarding "realizability, Covers And Sheaves, ..."
    For this purpose, we believe that the notion of a cover algebra (a specialcase of a grothendieck topology) is particularly well suited.  
    http://www.cis.upenn.edu/~bcpierce/types/archives/1993/msg00077.html

25. Categories: Re: Effective Topos
    recursive sets and recursive maps (or equivalently just the monoid of recursiveendomaps of N). Its canonical grothendieck topology turns out to be finitary.  
    http://north.ecc.edu/alsani/ct02(1-2)/msg00016.html

26. The Lax Logic Project Page
    Journal of Symbolic Logic 17249265, 1952. RI Goldblatt grothendieck topologyas geometric modality. Z. Math. Logick Grundlag. Math. 27495-529, 1981.  
    http://www.dcs.shef.ac.uk/~mattw/ll_project/main.html

27. [algebra Seminar] Freddy Van Oystaeyen
    the noncommutative geometry in terms of C*algebras, we develop noncommutative topologyboth in the analytic sense or in the sense of grothendieck topology.  
    http://listas.math.ist.utl.pt/pipermail/algebraist/2002/000042.html

28. Lambda Definability With Sums Via Grothendieck Logical Relations - Fiore, Simpso
    0 1 ; w 0 l ; wj 1 ; wkg 2 S This definition appears to be related tothe notion of a grothendieck topology (Fiore and Simpson, 1999).  
    http://citeseer.nj.nec.com/55838.html

29. Www.infomag.ru8082/dbase/B003E/951108-004.txt
    symmetries. Then there are *really* highpowered things like topoi ofsheaves on a category equipped with a grothendieck topology . And  
    http://www.infomag.ru:8082/dbase/B003E/951108-004.txt

30. PSSL 77
    17.00 John Kennison (Clark) Integral domain representation and related topics Saturday10.00 Rob Goldblatt (Wellington) grothendieck topology as geometric  
    http://www.wraith.u-net.com/PSSL/1977.html

31. Colloquium Of The Mathematical Sciences Group, Department Of Computer Science, S
    Abstract In this talk we will show that the class of maps generated by densesubobjects for a given grothendieck topology on a partially ordered set P  
    http://math.usask.ca/fvk/coll01.htm

32. Goldblatt, Robert: Mathematics Of Modality
    Arithmetical Necessity, Provability and Intuitionistic Logic 5 Diodorean Modalityin Minkowski Spacetime 6 grothendieck topology as Geometric Modality 7 The  
    http://www.press.uchicago.edu/cgi-bin/hfs.cgi/00/12591.ctl

33. Publications
    with by a small extension of a result of Raynaud and Gruson showing that the imageof a flat map of affinoid varieties is open in the grothendieck topology.  
    http://www.math.ohio-state.edu/~schoutens/publications.html

34. Practical Foundations Of Mathematics
    (c) L also includes some stable colimits, encoded by a grothendieck topology J.The category S = Set C op of presheaves must be replaced by the category Shv(C,J  
    http://www.dcs.qmul.ac.uk/~pt/Practical_Foundations/html/s77.html

35. GROTHENDIECK'S RECONSTRUCTION PRINCIPLE AND 2-DIMENSIONAL TOPOLOGY AND GEOMETRY
    doi10.1142/S0219199799000079. grothendieck'S RECONSTRUCTION PRINCIPLEAND 2DIMENSIONAL topology AND GEOMETRY. FENG LUO Department  
    http://www.worldscinet.com/ccm/01/0102/S0219199799000079.html

36. Grothendieck
    During this period grothendieck's work provided unifying themes in geometry,number theory, topology and complex analysis. He introduced  
    http://www-gap.dcs.st-and.ac.uk/~history/Mathematicians/Grothendieck.html

37. Steve Vickers's WWW Home Page
    pour les vraiment nuls is a further introduction to grothendieck's idea of toposesas generalized topological spaces, using geometric logic to hide topology.  
    http://mcs.open.ac.uk/sjv22/

38. 2 The Grothendieck-Riemann-Roch Theorem
    If K 0 (X) is the grothendieck ring of vector bundles on X, the Chern character(defined using Chern classes by the same formula as in topology) gives a ring  
    http://www.imsc.ernet.in/~kapil/papers/harishconf/node3.html

39. 1.4 Historical Notes
    spectral sequences of (grothendieck) topology are derived from the same theoremof Homological Algebra (which is , if maps injectives to -acyclic objects).  
    http://home.t-online.de/home/berndt.schwerdtfeger/flat/flatnode7.html

40. Partners: Functional Analysis And Topology By Lawrence Narici
    topology to inspire functional analysis and it was progress in general topology throughout1930 in the works of Mackey (14, 15), and grothendieck (10, 11  
    http://at.yorku.ca/t/a/i/c/42.htm

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