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On maps of a sphere to a simply connected space with finitely generated homotopy groups
Author(s):
S.
S.
Podkorytov
Translated by:
the author
Original publication:
Algebra i Analiz,
tom 16
(2004),
vypusk 4.
Journal:
St. Petersburg Math. J.
16
(2005),
719-747.
MSC (2000):
Primary 55P15
Posted:
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.
References:
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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:
10.1090/S1061-0022-05-00876-9
PII:
S 1061-0022(05)00876-9
Keywords:
Homotopy class,
CW-complex,
pointed set,
fundamental group.
Received by editor(s):
1/FEB/2003
Posted:
June 23, 2005
Additional Notes:
Partially supported by the Russian Science Support Foundation and the grant NSh--1914.203.1
Copyright of article:
Copyright
2005,
American Mathematical Society
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