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.
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页数：20
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