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Keywords: Both Web Directory News Top Science ... Algebra Category Theory All Related Categories: Events Journals Research Groups See Also: Games: Card Games: Special Decks: Ccard Science: Math: Logic and Foundations Science: Math: Topology: Algebraic Topology Web Pages: A Gentle Introduction to Category Theory Lecture notes by Maarten M. Fokkinga introducing some important notions from category theory, in particular adjunctions. Proofs are given in a calculational style, and the (few) examples are taken from algorithmics. The text is a long PostScript file. http://wwwhome.cs.utwente.nl/~fokkinga/mmf92b.html CT Category Theory Section of the e-print arXiv dealing with category theory, including such topics as: enriched categories, topoi, abelian categories, monoidal categories, homological algebra. http://front.math.ucdavis.edu/math.CT Categorical Myths and Legends An archive of stories about category theorists. http://www.mcs.le.ac.uk/~ah83/cat-myths/ Categories Home Page Web page for the category theory mailing list. http://www.mta.ca/~cat-dist/

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mathaction-bounces Thread Date Find [Tuples Products And Records] billpage Thu, 06 Jul 2006 17:48:15 -0700 Changes http://wiki.axiom-developer.org/TuplesProductsAndRecords/diff changed: -From BillPage Fri Jul 1 14:47:12 -0500 2005 -From: Bill Page -Date: Fri, 01 Jul 2005 14:47:12 -0500 -Subject: Cartesian products and tuples -Message-ID: <[EMAIL PROTECTED]> +On Fri Jul 1 14:47:12 -0500 2005 Bill Page wrote: changed: -[EMAIL PROTECTED] +SandBoxDirectProduct changed: -<a href=" http://en.wikipedia.org/wiki/Limit_ (category_theory)"> - http://en.wikipedia.org/wiki/Limit_ (category_theory) -</a> + "Limit_(category_theory)": http://en.wikipedia.org/wiki/Limit_ (category_theory) forwarded from [EMAIL PROTECTED] [Tuples Products And Records] billpage Reply via email to

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var skin = 'monobook';var stylepath = '/skins'; Category theory From ELM Jump to: navigation search Category theory is a relatively modern branch of mathematics that is renowned for being extremely abstract. Though its (accurate) reputation may intimidate neophytes, the high level of generalization that characterizes category theory can prove to be exceptionally useful and beautiful to those who pursue the subject with tenacity and open-mindedness! Category theory primarily strives to achieve the following goals: To provide a formal setting in which almost all interesting mathematical structures (e.g. sets, monoids , topological spaces) can be described and studied. To this end, category theory must perform a delicate balancing act between being general enough to permit the description and study of an incredibly diverse range of mathematical constructs, and being detailed enough so that the meaning of abstracted constructs can be specified when desired. To serve as an alternate (or, perhaps, complementary ) approach to the foundations of mathematics, in which the primitive, set-theoretic concept of "element" or "membership" is replaced by that of "function."

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Category Theory Algebra Math @Intermall Standard Listings Top Science Math Algebra ... Journals See Also: Top/Science/Math/Logic and Foundations Top/Science/Math/Topology/Algebraic Topology Top/Games/Card Games/Special Decks/Ccard - In the "known maths" series. - An implementation of concepts and constructions from category theory in the functional programming language Standard ML. Documentation and code. - Introductory article by John Baez. - Lecture notes by Maarten M. Fokkinga introducing some important notions from category theory, in particular adjunctions. Proofs are given in a calculational style, and the (few) examples are taken from algorithmics. The text is a long PostScript file. - The aim of the project is the development of software on a wide variety of platforms for computing with mathematical categories and associated algebraic structures. - Notes by Ronald Brown. - Maintained by M. Alsani. - By Michael Barr and Charles Wells, 1983. A revised and corrected version is now available free for downloading. Formats: DVI, PDF, PostScript. - Web page for the category theory mailing list.

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Topic:Category theory From Wikiversity Jump to: navigation search This department is a part of the Subdivision of Higher Algebra Diagrams are used to simplify long arguments in category theory. This diagram was used to prove the Snake Lemma Contents Department description Department news Learning materials and learning projects Offsite Learning Materials ... edit Department description Category theory is a relatively new birth that arose from the study of cohomology in topology and quickly broke free of its shackles to that area and became a powerful tool that currently challenges set theory as a foundation of mathematics, although category theory requires more mathematical experience to appreciate and cannot in its current state be reasonably used to introduce mathematics. It has also found many applications in the physical sciences. The goal of this department is to familiarize the student with the theorems and goals of modern category theory. Prerequisites to full appreciation of this area of study includes knowledge of topology up to basic homology theory, and some basic idea of cohomology. edit Department news Monday, August 28, 2006

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SomaliNet SCREEN: NORMAL NARROW SERVICES: TRANSLATIONS PROMOTIONS SOMALINET: ABOUT US CONTACT US PRIVACY INFO SITE STATUS somali somalia HOME NEWS BUSINESS CHAT ... ABOUT SOMALINET Please bear with us as the site is going through many changes ranging from backend software upgrades to new design. Some sections may become inaccesible in the next few weeks. FEEDBACK OLD FRONT PAGE the entire directory only in Algebra/Category_Theory Top Science Math Algebra : Category Theory Events Journals Research Groups See also: Games: Card Games: Special Decks: Ccard Science: Math: Logic and Foundations Science: Math: Topology: Algebraic Topology Categorical Myths and Legends - An archive of stories about category theorists. Categories Home Page - Web page for the category theory mailing list. Categories, Quantization, and Much More - Introductory article by John Baez. Category Theory - This expository article is an entry in the Stanford Encyclopedia of Philosophy. Category Theory and Homological Algebra - In the "known maths" series. Computational Category Theory - An implementation of concepts and constructions from category theory in the functional programming language Standard ML. Documentation and code.

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Category:Category theory From Wiktionary Jump to: navigation search Below is a list of words common in category theory , a field of mathematics. Entries in category “Category theory” The following 16 pages are in this category, out of 16 total. Template:category theory T Transwiki:Glossary of category theory a abstract nonsense c category category theory c cont. codomain cokernel contravariant covariant d direct product e epimorphism f functor m morphism n normal s subcategory u universal property Retrieved from " http://en.wiktionary.org/wiki/Category:Category_theory Category Mathematics Views Category Discussion Edit History Personal tools Log in / create account Navigation Main Page Community portal Requested entries Recent changes ... Contact us Search Toolbox What links here Related changes Upload file Special pages ... Permanent link This page was last modified 02:55, 9 February 2007. Content is available under GNU Free Documentation License About Wiktionary

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Category theory From Wikipedia, the free encyclopedia. Category theory is a mathematical theory that deals in an abstract way with mathematical structures and relationships between them. It is half-jokingly known as "generalized abstract nonsense Categories appear in most branches of mathematics, and in some areas of theoretical computer science and mathematical physics , and have been a unifying notion. Categories were first introduced by Samuel Eilenberg and Saunders Mac Lane in , in connection with algebraic topology See list of category theory topics for a breakdown of relevant articles. Contents showTocToggle("show","hide") 1 Background 2 Historical notes 3 Categories, objects, and morphisms 3.1 Types of morphisms ... edit Background The study of categories is an attempt to capture what is commonly found in various classes of related mathematical structures. Consider the following example. The class Grp of groups consists of all objects having a "group structure". More precisely, Grp consists of all sets G endowed with a binary operation satisfying a certain set of axioms . One can proceed to prove theorems about groups by making logical deductions from the set of axioms. For example, it is immediately proved from the axioms that the

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