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Secondary homotopy groups

Secondary homotopy groups Secondary homotopy groups supplement the structure of classical homotopy groups. They yield a 2-functor on the groupoid-enriched category of pointed spaces compatible with fiber sequences, suspensions and loop spaces. They also yield algebraic models of ( n - 1)-connected ( n + 1)-types for n ≥ 0. 1991 Mathematics Subject Classification: 18D05, 55Q25, 55S45. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Forum Mathematicum de Gruyter

Secondary homotopy groups

Forum Mathematicum , Volume 20 (4) – Jul 1, 2008

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References (26)

Publisher
de Gruyter
Copyright
© Walter de Gruyter
ISSN
0933-7741
eISSN
1435-5337
DOI
10.1515/FORUM.2008.032
Publisher site
See Article on Publisher Site

Abstract

Secondary homotopy groups supplement the structure of classical homotopy groups. They yield a 2-functor on the groupoid-enriched category of pointed spaces compatible with fiber sequences, suspensions and loop spaces. They also yield algebraic models of ( n - 1)-connected ( n + 1)-types for n ≥ 0. 1991 Mathematics Subject Classification: 18D05, 55Q25, 55S45.

Journal

Forum Mathematicumde Gruyter

Published: Jul 1, 2008

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