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

Title
Self-maps of the product of two spheres fixing the diagonal
Publication Date
2011
Author(s)
Baues, Hans-Joachim
Bleile, Beatrice
Type of document
Journal Article
Language
en
Entity Type
Publication
Publisher
Elsevier BV
Place of publication
Netherlands
DOI
10.1016/j.topol.2011.06.058
UNE publication id
une:8568
Abstract
We compute the monoid of essential self-maps of SⁿxSⁿ fixing the diagonal. More generally, we consider products SxS, where S is a suspension. Essential self-maps of SxS 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.
Link
link
Citation
Topology and Its Applications, 158(16), p. 2198-2204
ISSN
0016-660X
Start page
2198
End page
2204

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