Self-Maps of the Product of Two Spheres Fixing the Diagonal

Details Self-Maps of the Product of Two Spheres Fixing the Diagonal Self-Maps of the Product of Two Spheres Fixing the Diagonal

2010-07-24

arxiv.org/abs/1007.4254v1

Mathematics

Algebraic Topology

10 pages

Scientific paper

We compute the monoid of essential self-maps of of the product of two n-spheres fixing the diagonal. More generally, we consider products S x S, where S is a suspension. Essential self-maps of S x 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.

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