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Title: Self-maps of the product of two spheres fixing the diagonal
Contributor(s): Baues, Hans-Joachim (author); Bleile, Beatrice  (author)
Publication Date: 2011
Open Access: Yes
DOI: 10.1016/j.topol.2011.06.058Open Access Link
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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.
Publication Type: Journal Article
Source of Publication: Topology and Its Applications, 158(16), p. 2198-2204
Publisher: Elsevier BV
Place of Publication: The Netherlands
ISSN: 0016-660X
Field of Research (FOR): 010112 Topology
Peer Reviewed: Yes
HERDC Category Description: C1 Refereed Article in a Scholarly Journal
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