Cobordism classes of maps and covers for spheres

In this paper we show that for m>n the set of cobordism classes of maps from m-sphere to n-sphere is trivial. The determination of the cobordism homotopy groups of spheres admits applications to the covers for spheres.

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Bibliographic Details
Published in:arXiv.org 2018-01
Main Authors: Musin, Oleg R, Wu, Jie
Format: Article
Language:English
Subjects:
Spheres
Online Access:Get full text
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Summary:In this paper we show that for m>n the set of cobordism classes of maps from m-sphere to n-sphere is trivial. The determination of the cobordism homotopy groups of spheres admits applications to the covers for spheres.
ISSN:2331-8422