A detailed look at the Szczarba map
Algebraic Topology
2023-05-24 v1 Category Theory
Abstract
We explain how to derive an explicit formula for a natural transformation relating the (left adjoints of) the homotopy coherent nerve and the Dwyer-Kan simplicial classifying space functor. The formula is derived using a method introduced by Szczarba when comparing two different chain models of a fibration. This note may be taken as a companion to section 3 of our previous article "Categorical models for path spaces".
Keywords
Cite
@article{arxiv.2305.13638,
title = {A detailed look at the Szczarba map},
author = {Emilio Minichiello and Manuel Rivera and Mahmoud Zeinalian},
journal= {arXiv preprint arXiv:2305.13638},
year = {2023}
}