Homotopy type through homology groups

被引：0

作者：

Bravo, Andres Carnero ^{[1
]}

Camarena, Omar Antolin ^{[1
]}

机构：

[1] Univ Nacl Autonoma Mexico, Ciudad Univ, Mexico City 04510, Mexico

来源：

BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA | 2024年 / 30卷 / 02期

关键词：

Homotopy type; Homology; CW-complex;

D O I：

10.1007/s40590-024-00605-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that for certain pairs of nonnegative integers, if the reduced integral homology groups of a space are nonzero only in that pair of degrees and those groups are finitely generated free abelian groups, then the space must have the weak homotopy type of a wedge of spheres of whose dimensions belong to the pair.

引用

页数：6

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