English

Concrete Duality for Strict Infinity Categories

Category Theory 2008-07-29 v1

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.

Keywords

Cite

@article{arxiv.0807.4256,
  title  = {Concrete Duality for Strict Infinity Categories},
  author = {G. V. Kondratiev},
  journal= {arXiv preprint arXiv:0807.4256},
  year   = {2008}
}

Comments

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

R2 v1 2026-06-21T11:04:39.917Z