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.
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页数：6
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