Duality categories
Algebraic Topology
2015-07-07 v2 Category Theory
Abstract
We define the notion of duality categories as generalization of duality groups. Two examples are treated. The first is the Serre duality in the categories of strict polynomial functors. The second concerns finite complexes. We show in particular that finite Tits buildings are duality categories.
Keywords
Cite
@article{arxiv.1405.3221,
title = {Duality categories},
author = {Ramzi Ksouri},
journal= {arXiv preprint arXiv:1405.3221},
year = {2015}
}
Comments
36 pages. English version: revised arguments and additional comments. To appear in Applied Categorical Structures