Kan's combinatorial spectra and their sheaves revisited
Algebraic Topology
2017-10-03 v1 Category Theory
Abstract
We define a right Cartan-Eilenberg structure on the category of Kan's combinatorial spectra, and the category of sheaves of such spectra, assuming some conditions. In both structures, we use the geometric concept of homotopy equivalence as the strong equivalence. In the case of sheaves, we use local equivalence as the weak equivalence. This paper is the first step in a larger-scale program of investigating sheaves of spectra from a geometric viewpoint.
Keywords
Cite
@article{arxiv.1710.00429,
title = {Kan's combinatorial spectra and their sheaves revisited},
author = {Ruian Chen and Igor Kriz and Aleš Pultr},
journal= {arXiv preprint arXiv:1710.00429},
year = {2017}
}
Comments
To appear in Theory and Applications of Categories