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category (Definition)

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"category" is owned by bci1.
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See Also: groupoid, categorical sequence, square diagram, commutative square diagram, graph, supercategory, category, categorical diagrams defined as functors, categorical physics, index of algebraic topology, category theory, axiomatic theories of metacategories and supercategories, algebraic topology

Also defines:  metagraph, metacategory, category axioms, large category, small category, 4Hom (X, Y)$, unit law, associativity axioms, identity, composition, operations, categorification, groupoidification, graph, dom, cod
Keywords:  category theory, metagraph, metacategory, algebraic topology, homology theory, category, unit law, associativity axioms, identity, composition, operations, graph, dom, cod

Attachments:
alternative definition of category (Definition) by rspuzio
alternative definition of small category (Definition) by bci1
category theory applications (Application) by bci1

Cross-references: elementary theory of abstract categories, ETAC axioms, codomain, domain, operators, functions, systems, diagrams, topological, groupoid, algebraic, algebraic topology, work, concept
There are 287 references to this object.

This is version 44 of category, born on 2009-04-06, modified 2009-05-02.
Object id is 634, canonical name is Category.
Accessed 13678 times total.

Classification:
Physics Classification00. (GENERAL)
 02. (Mathematical methods in physics)
 03. (Quantum mechanics, field theories, and special relativity )
 03.65.Fd (Algebraic methods )
Pending Errata and Addenda
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