On maps of a sphere to a simply connected space with finitely generated homotopy groups

Podkorytov, S.

doi:10.1090/S1061-0022-05-00876-9

On maps of a sphere to a simply connected space with finitely generated homotopy groups
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by S. S. Podkorytov
Translated by: the author

St. Petersburg Math. J. 16 (2005), 719-747

DOI: https://doi.org/10.1090/S1061-0022-05-00876-9

Published electronically: June 23, 2005

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Abstract:

It is proved that the homotopy class of a map of a sphere to a simply connected CW-complex with finitely generated homotopy groups depends polynomially on the induced homomorphism of the groups of zero-dimensional singular chains.

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