A-HOMOLOGY, A-HOMOTOPY AND SPECTRAL SEQUENCES

被引：0
|
作者：
Miguel Ottina, Enzo [1 ]
机构：
[1] Univ Nacl Cuyo, Inst Ciencias Basicas, RA-5500 Mendoza, Argentina
来源：
JOURNAL OF HOMOTOPY AND RELATED STRUCTURES | 2011年 / 6卷 / 01期
关键词：
CW-complexes; Homology Theories; Homotopy Groups; Spectral Sequences;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Given a CW-complex A we define an 'A-shaped' homology theory which behaves nicely towards A-homotopy groups allowing the generalization of many classical results. We also develop a relative version of the Federer spectral sequence for computing A-homotopy groups. As an application we derive a generalization of the Hopf-Whitney theorem.
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页码：161 / 173
页数：13
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