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Secondary homotopy groups
-
Hans-Joachim Baues
and
Fernando Muro
Published/Copyright:
September 8, 2008
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.
Received: 2006-02-08
Accepted: 2006-09-21
Published Online: 2008-09-08
Published in Print: 2008-07-01
© Walter de Gruyter
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Articles in the same Issue
- A sphere theorem for a class of Reinhardt domains with constant Levi curvature
- Weighted inequalities and Stein-Weiss potentials
- Iwasawa's Local Splitting Theorem for Pro-Lie Groups
- Secondary homotopy groups
- Calderon–Zygmund type estimates for nonlinear systems with quadratic growth on the Heisenberg group
- Extensions of L∞ algebras of two even and one odd dimension
- Expander graphs and gaps between primes
- A non-perfect surjective cellular cover of PSL(3,F(t))
Articles in the same Issue
- A sphere theorem for a class of Reinhardt domains with constant Levi curvature
- Weighted inequalities and Stein-Weiss potentials
- Iwasawa's Local Splitting Theorem for Pro-Lie Groups
- Secondary homotopy groups
- Calderon–Zygmund type estimates for nonlinear systems with quadratic growth on the Heisenberg group
- Extensions of L∞ algebras of two even and one odd dimension
- Expander graphs and gaps between primes
- A non-perfect surjective cellular cover of PSL(3,F(t))
