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arXiv · 2305.13638

A detailed look at the Szczarba map

Emilio Minichiello·Manuel Rivera·Mahmoud Zeinalian
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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".

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Emilio Minichiello, Manuel Rivera, Mahmoud Zeinalian. 2023-05-23. A detailed look at the Szczarba map. https://arxiv.org/abs/2305.13638

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