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

Author(s)
Baues, Hans-Joachim
Bleile, Beatrice
Publication Date
2011
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.
Citation
Topology and Its Applications, 158(16), p. 2198-2204
ISSN
0016-660X
Link
https://hdl.handle.net/1959.11/8392
Publisher
Elsevier BV
Title
Self-maps of the product of two spheres fixing the diagonal
Type of document
Journal Article
Entity Type
Publication

Files:

NameSizeformatDescriptionLink