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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.2011.06.058||Handle Link:||https://hdl.handle.net/1959.11/8392||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||Statistics to Oct 2018:||Visitors: 205
|Appears in Collections:||Journal Article|
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