Self-maps of the product of two spheres fixing the diagonal

被引：0
|
作者：
Baues, Hans-Joachim [2 ]
Bleile, Beatrice [1 ]
机构：
[1] Univ New England, Sch Sci & Technol, Armidale, NSW 2351, Australia
[2] Max Planck Inst Math, D-53111 Bonn, Germany
来源：
TOPOLOGY AND ITS APPLICATIONS | 2011年 / 158卷 / 16期
关键词：
Essential maps under the diagonal; Homotopy classes relative a subspace; Fundamental action; Action of the fundamental group; Isotropy groups of the pinching action; Homotopy extension property; Whitehead products; Products of suspensions;
D O I：
10.1016/j.topol.2011.06.058
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We compute the monoid of essential self-maps of S-n x S-n fixing the diagonal. More generally, we consider products S x S, where S is a suspension. Essential self-maps of S x S demonstrate the interplay between the pinching action for a mapping cone and the fundamental action on homotopy classes under a space. We compute examples with non-trivial fundamental actions. Crown Copyright (C) 2011 Published by Elsevier B.V. All rights reserved.
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页码：2198 / 2204
页数：7
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