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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Published in:arXiv.org 2018-01
Main Authors: Musin, Oleg R, Wu, Jie
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Language:English
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Spheres
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description 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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title Cobordism classes of maps and covers for spheres
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