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Concrete Duality for Strict Infinity Categories · arXivDesk

0807.4256Jul 26, 2008It is a revision of the previous version 'Strict $\infty $-categories. Concrete Duality', 50 pages

Concrete Duality for Strict Infinity Categories

G. V. Kondratiev

Category Theory

Abstract

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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