Category Theory


     




Dual (category theory) - In category theory, an abstract branch of mathematics, the dual category or opposite category Cop of a category C is the category formed by reversing all the morphisms of C. That is, we take Cop to be the category with objects that are those ...

Higher category theory - The higher category theory is the part of category theory at a higher-order which means that some equalities are replaced by explicit arrows in order to be able to explicitly study the structure behind those equalities.

Small set (category theory) - In category theory, a small set is one in a fixed universe of sets (as the word universe is used in mathematics in general). Thus, the category of small sets is the category of all sets one cares to consider.

Nerve (category theory) - In category theory, the nerve N(C) of a small category C is a simplicial set constructed from the objects and morphisms of C. The geometric realization of this simplicial set is a topological space, called the classifying space of the category C.

Interactions between Representation Theories, Knot Theory, Topology, Quantum Field Theory, Category Theory, and Mathematical Physics - Interactions between Representation Theories, Knot Theory, Topology, Quantum Field Theory, Category Theory, and Mathematical Physics SUNY Potsdam, NY, USA; 2--6 June 2003.

CT Category Theory - 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.

Applied and Computational Category Theory - Applied and Computational Category Theory A brief description of category theory, and some useful links.

categorytheory

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