June 2022 Geometric realization and its variants
Yi-Sheng WANG
Author Affiliations +
Hokkaido Math. J. 51(2): 257-274 (June 2022). DOI: 10.14492/hokmj/2020-348

Abstract

In this paper, we compare different realization functors for simplicial objects in a topologically enriched model category, generalizing tom Dieck's theorem on homotopy type of classifying spaces.

Funding Statement

The author gratefully acknowledges use of facilities at and the financial support from Mathematical Research Institute of Oberwolfach and National Center for Theoretical Sciences.

Citation

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Yi-Sheng WANG. "Geometric realization and its variants." Hokkaido Math. J. 51 (2) 257 - 274, June 2022. https://doi.org/10.14492/hokmj/2020-348

Information

Received: 25 May 2020; Revised: 5 August 2021; Published: June 2022
First available in Project Euclid: 9 September 2022

Digital Object Identifier: 10.14492/hokmj/2020-348

Subjects:
Primary: 18N50 , 55R35
Secondary: 18N40 , 55R37

Keywords: classifying space , geometric realization , topologically enriched category

Rights: Copyright c 2022 Hokkaido University, Department of Mathematics

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Vol.51 • No. 2 • June 2022
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