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         Category Theory:     more books (100)
  1. Categories, Bundles and Spacetime Topology (Mathematics and Its Applications) by C.T. Dodson, 2010-11-02
  2. Accessible Categories: The Foundations of Categorical Model Theory (Contemporary Mathematics) by Michael Makkai, Robert Pare, 1989-12
  3. Theory and Applications of Ontology: Computer Applications
  4. Elementary Categories, Elementary Toposes (Oxford Logic Guides) by Colin McLarty, 1996-02-01
  5. Introduction to Category Theory by V.Sankrithi Krishnan, 1980-10
  6. Quantum Groups, Quantum Categories and Quantum Field Theory (Lecture Notes in Mathematics) by Jürg Fröhlich, Thomas Kerler, 1993-05-12
  7. Categories and Modules With K-Theory in View by A. J. Berrick, M. E. Keating, 2000-01-15
  8. Measure and Category: A Survey of the Analogies between Topological and Measure Spaces (Graduate Texts in Mathematics) by John C. Oxtoby, 1980-09-29
  9. Category Theory and Computer Science: Manchester, UK, September 5-8, 1989. Proceedings (Lecture Notes in Computer Science)
  10. Category Theory and Computer Science: Edinburgh, UK, September 7-9, 1987. Proceedings (Lecture Notes in Computer Science)
  11. Category Theory and Computer Science: 7th International Conference, CTCS'97, Santa Margherita Ligure Italy, September 4-6, 1997, Proceedings (Lecture Notes in Computer Science)
  12. The Theory of Categories (Nijhoff International Philosophy Series) by F.C. Brentano, 1981-02-28
  13. Categories, Types, and Structures: An Introduction to Category Theory for the Working Computer Scientist (Foundations of Computing Series) by Andrea Asperti, Giuseppe Longo, 1991-08-23
  14. Categories for Software Engineering by Jose Luiz Fiadeiro, 2010-11-30

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23. Virtek Directory :: Science : Math : Algebra : Category Theory
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Make linkRoute your home page Add linkRoute to your favorites Share linkRoute with a friend Web www.linkroute.com Top Science Math Algebra ... Events Related Categories Categories Description WebSites Peripatetic Seminar on Sheaves and Logic. UCL, Louvain-la-Neuve, Belgium; 1617 October 1999. http://www.math.ucl.ac.be/~jibladze/pssl71/hi.html CatMAT 2000 Categorical Methods in Algebra and Topology - Commemorating 25 years of Category Theory in Bremen. University of Bremen, Germany; 2125 August 2000. http://katmat.math.uni-bremen.de/catmat2000/ University of Coimbra, Portugal; 1924 July 1999. http://www.mat.uc.pt/~ct99/ School on Category Theory and Applications University of Coimbra, Portugal; 1317 July 1999. http://www.mat.uc.pt/~scta/ Canadian Mathematical Society Annual Seminar. Dalhousie University, Halifax, Canada; 915 July 1995. http://www.mta.ca/~cat-dist/ct95.html CTCS'97 7th conference on Category Theory and Computer Science. S. Margherita Ligure, Italy; 46 September 1997. http://www.disi.unige.it/conferences/ctcs97/ CTCS'99 8th conference on Category Theory and Computer Science. Edinburgh, Scotland, UK; 1012 September 1999. http://www.dcs.ed.ac.uk/home/ctcs99/

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Directory Submit Site Free Advertising Sign In ... Sponsor This Category Free for 60 Days - Customize your message and appear alongside search results. Start your Free Trial today! Top: Science: Math: Algebra: ... Categorical Myths and Legends - Includes archived stories on category theorists. Categories List - Includes archived postings, list of conferences, mailings lists, TeX macros for diagrams as well as links to related websites and the theory and Applications of Categories journal. Categories, Quantization, and Much More - Article written by John Baez. Category Theory - Includes general definitions, examples and applications, history, and philosophical significance. Category Theory, Homological Algebra - Provides introduction, history, discussion of related area and subfields. Also includes list of textbooks and references, and links to related websites and selected topics. Computational Category Theory - Implementation of concepts and constructions using Standard ML. Includes full details of the project in pdf or postscript, and access to the programs used. CT Category Theory - Links to articles available in pdf or ps. Abstracts are also available.

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32. Category Theory - Encyclopedia Article - Citizendium
The category of schemes is one of the principal objects of study. Retrieved from http//en.citizendium.org/wiki/category_theory
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This is a draft article , under development. These unapproved articles are subject to edit intro Category theory
Definition
A category consists of the following data:
  • A class of "objects," denoted o b C For objects , a set Mor C A B such that is empty if and
  • together with a "law of composition": (which we denote by ) having the following properties:
  • Associativity: whenever the compositions are defined Identity: for every object there is an element i d A such that for all and
  • Examples
  • The category of sets The category of topological spaces The category of functors : if C and D are two categories, then there is a category consisting of all contravarient functors from C to D , where morphisms are natural transformations The category of schemes is one of the principal objects of study
  • Retrieved from " http://en.citizendium.org/wiki/Category_theory

    33. Talk:Category Theory - Indopedia, The Indological Knowledgebase
    Retrieved from http//www.indopedia.org/Talkcategory_theory.html . This page has been accessed 13 times. This page was last modified 0652, 19 Nov 2004 by
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    ज्ञानकोश: - The Indological Knowledgebase Something else: I think it would be useful for the structure of the page to export some of the topics (the numerous examples are great but the presentation becomes not very concise). Especially "Natural transformations" could go to Natural transformation and there should be an extra page for "Equivalence of Categories", since there is really much more to say about this. The page would be clearer by just pointing to these topics (and giving very short explanations). Comments welcome - Markus 21/11/2003 OK, no comments, but I did it anyway. I did not destroy any information but added some (especially on equivalence of categories ). I think it is a much better structure now, also in the light of further extensions. Still the most basic definitions remain in category theory , but important further topics are now more easily recognized (not just by reading the examples...). I also included the suggested literature. Still comments are welcome. - Markus 25/11/2003 Must a functor be one-to-one? Can it assign the same object in D to many objects in C, or many objects in D to a single object in C? I can't see that this is ruled out by the requirements on a functor, but maybe I'm just not being smart enough.

    34. Category Theory - MathWiki
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    Category Theory
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    Category theory is, roughly speaking, the study of abstract structure. That is, a category theoretic view of a particular situation makes the underlying structure explicit, and illustrates precisely where content 'colors' this abstract structure. edit
    Topics in Category Theory
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    36. Category Theory
    The study of abstracted collections of mathematical objects, such as the category of sets or the category of vector spaces, together with abstracted
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    category theory
    The study of abstracted collections of mathematical objects, such as the category of sets or the category of vector spaces , together with abstracted operations sending one object to another, such as the collection of functions from one set to another or linear transformations from one vector space to another.
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    38. Open Directory Project Science Math Algebra Category Theory
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    39. Category Theory - Wikipedia
    Retrieved from http//nostalgia.wikipedia.org/wiki/category_theory . This page was last modified 1709, 17 December 2001. Content is available under GNU
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    Category theory
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    Category theory is a mathematical theory that deals in an abstract way with mathematical structures and relationships between them. Although originally developed in the context of

    40. Category Theory - Wikipedia
    Category theory. Category theory is a mathematical theory that deals in an abstract way with mathematical structures and relationships between them.
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    Category theory
    Category theory is a mathematical theory that deals in an abstract way with mathematical structures and relationships between them. Although originally developed in the context of algebraic geometry algebraic topology and universal algebra , it is now also used in various other branches of mathematics. Special categories called topoi can even serve as an alternative to set theory as the foundation of mathematics. Category theory is half-jokingly known as "abstract nonsense". Category theory is also used in a foundational way in functional programming , for example to discuss the idea of typed lambda calculus in terms of cartesian-closed categories. A category attempts to capture the essence of a class of related mathematical objects, for instance the class of groups . Instead of focusing on the individual objects (groups) as has been done traditionally, the morphisms , i.e. the structure preserving maps between these objects, are emphasized. In the example of groups, these are the group homomorphisms . Then it becomes possible to relate different categories by functors , generalizations of functions which associate to every object of one category an object of another category and to every morphism in the first category a morphism in the second. Very commonly, certain "natural constructions", such as the

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