Fibrations of classifying spaces in the simplicial setting

Fuente: arXiv
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Main Author: Franz, Matthias
Format: Preprint
Published: 2024
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_version_ 1866916823221403648
author Franz, Matthias
author_facet Franz, Matthias
contents In this note we show that in the simplicial setting, the classifying space construction converts short exact sequences of groups not just to homotopy fibrations, but in fact to fibre bundles.
format Preprint
id arxiv_https___arxiv_org_abs_2412_07056
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Fibrations of classifying spaces in the simplicial setting
Franz, Matthias
Algebraic Topology
55R35, 55U10 (Primary), 55R10, 55R37 (Secondary)
In this note we show that in the simplicial setting, the classifying space construction converts short exact sequences of groups not just to homotopy fibrations, but in fact to fibre bundles.
title Fibrations of classifying spaces in the simplicial setting
topic Algebraic Topology
55R35, 55U10 (Primary), 55R10, 55R37 (Secondary)
url https://arxiv.org/abs/2412.07056