Tame homotopy theory

DOI10.1016/0040-9383(79)90023-5zbMath0436.55007OpenAlexW2054276746MaRDI QIDQ1140901

William G. Dwyer

Publication date: 1979

Published in: Topology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0040-9383(79)90023-5

zbMATH Keywords

algebraic category of tame (r-1)-reduced differential graded Lie algebras over Zdivisibility of homotopy groupshomotopy category of tame (r-1)-connected spacesstable k-invariants

Mathematics Subject Classification ID

Classification of homotopy type (55P15) Infinite-dimensional Lie (super)algebras (17B65) Graded Lie (super)algebras (17B70) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60) Whitehead products and generalizations (55Q15)

Related Items (7)

The Milnor-Moore theorem in tame homotopy theory ⋮ Differential forms and torsion in the fundamental group ⋮ Homology, lower central series, and hyperplane arrangements ⋮ Mild and tame homotopy theory ⋮ The stable free rank of symmetry of products of spheres ⋮ Homotopie modérée et tempérée avec les coalgèbres. Applications aux espaces fonctionnels. (Tame homotopy via coalgebras. Applications to function spaces) ⋮ A homological approach to pseudoisotopy theory. I.

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