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St. Petersburg Mathematical Journal

ISSN 1547-7371(online) ISSN 1061-0022(print)

 

 

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


Author: S. S. Podkorytov
Translated by: the author
Original publication: Algebra i Analiz, tom 16 (2004), nomer 4.
Journal: St. Petersburg Math. J. 16 (2005), 719-747
MSC (2000): Primary 55P15
DOI: https://doi.org/10.1090/S1061-0022-05-00876-9
Published electronically: June 23, 2005
MathSciNet review: 2090856
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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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Additional Information

S. S. Podkorytov
Affiliation: St. Petersburg Branch, Steklov Mathematical Institute, Russian Academy of Sciences, Fontanka 27, St. Petersburg 191023, Russia
Email: ssp@pdmi.ras.ru

DOI: https://doi.org/10.1090/S1061-0022-05-00876-9
Keywords: Homotopy class, CW-complex, pointed set, fundamental group.
Received by editor(s): February 1, 2003
Published electronically: June 23, 2005
Additional Notes: Partially supported by the Russian Science Support Foundation and the grant NSh–1914.203.1
Article copyright: © Copyright 2005 American Mathematical Society