Monoids of self-maps of topological spherical space forms
Algebraic Topology
2020-10-13 v1
Abstract
A topological spherical space form is the quotient of a sphere by a free action of a finite group. In general, their homotopy types depend on specific actions of a group. We show that the monoid of homotopy classes of self-maps of a topological spherical space form is determined by the acting group and the dimension of the sphere, not depending on a specific action.
Keywords
Cite
@article{arxiv.2010.05535,
title = {Monoids of self-maps of topological spherical space forms},
author = {Daisuke Kishimoto and Nobuyuki Oda},
journal= {arXiv preprint arXiv:2010.05535},
year = {2020}
}
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9 pages