On the homotopy theory of $\mathbf{G}$ - spaces
Category Theory
2020-04-15 v1 Algebraic Topology
General Topology
Abstract
The aim of this paper is to show that the most elementary homotopy theory of -spaces is equivalent to a homotopy theory of simplicial sets over , where is a fixed group. Both homotopy theories are presented as Relative categories. We establish the equivalence by constructing a strict homotopy equivalence between the two relative categories. No Model category structure is assumed on either Relative Category.
Keywords
Cite
@article{arxiv.1512.03698,
title = {On the homotopy theory of $\mathbf{G}$ - spaces},
author = {Amit Sharma},
journal= {arXiv preprint arXiv:1512.03698},
year = {2020}
}