Equivalences between localisations of categories provided by replacements
Category Theory
2018-10-11 v1 Algebraic Topology
K-Theory and Homology
Abstract
We give a characterisation of functors whose induced functor on the level of localisations is an equivalence and where the isomorphism inverse is induced by some kind of replacements such as projective resolutions or cofibrant replacements.
Cite
@article{arxiv.1810.04291,
title = {Equivalences between localisations of categories provided by replacements},
author = {Sebastian Thomas},
journal= {arXiv preprint arXiv:1810.04291},
year = {2018}
}