Title of article
Self-maps of the product of two spheres fixing the diagonal
Author/Authors
Hans-Joachim Baues ، نويسنده , , Hans-Joachim and Bleile، نويسنده , , Beatrice، نويسنده ,
Issue Information
دوماهنامه با شماره پیاپی سال 2011
Pages
7
From page
2198
To page
2204
Abstract
We compute the monoid of essential self-maps of S n × S n fixing the diagonal. More generally, we consider products S × S , where S is a suspension. Essential self-maps of S × 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.
Keywords
Fundamental action , Action of the fundamental group , Homotopy classes relative a subspace , Homotopy extension property , Essential maps under the diagonal , Whitehead products , Isotropy groups of the pinching action , Products of suspensions
Journal title
Topology and its Applications
Serial Year
2011
Journal title
Topology and its Applications
Record number
1583065
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