The Hurewicz theorem for cubical homology

被引：1

作者：

Carranza, Daniel ^{[1
]}

Kapulkin, Krzysztof ^{[2
]}

Tonks, Andrew ^{[3
]}

机构：

[1] Johns Hopkins Univ, Dept Math, Baltimore, MD USA

[2] Univ Western Ontario, Western Univ, Dept Math, London, ON, Canada

[3] Univ Malaga, Dept Algebra Geometria & Topol, Malaga, Spain

来源：

MATHEMATISCHE ZEITSCHRIFT | 2023年 / 305卷 / 04期

关键词：

Primary; 55N10; Secondary; 55P35; 55U35;

D O I：

10.1007/s00209-023-03352-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give an elementary proof of the Hurewicz theorem relating homotopy and homology groups of a cubical Kan complex. Our approach is based on the notion of a loop space of a cubical set, developed in a companion paper "Homotopy groups of cubical sets" by the first two authors.

引用

页数：20

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