Concrete Duality for Strict Infinity Categories

Details Concrete Duality for Strict Infinity Categories Concrete Duality for Strict Infinity Categories

2008-07-26

arxiv.org/abs/0807.4256v1

Mathematics

Category Theory

It is a revision of the previous version 'Strict $\infty $-categories. Concrete Duality', 50 pages

Scientific paper

An elementary theory of strict $\infty $-categories with application to
concrete duality is given. All known famous dualities (Gelfand-Naimark,
Pontryagin, Stone, etc.) are so-called natural. A criterion of existence of
such a duality for higher categories is formulated. New examples are presented.

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