On the homotopy of non-nilpotent spaces

DOI10.1007/BF01218375zbMath0467.55007OpenAlexW2042859554MaRDI QIDQ1155889

Jean-Claude Hausmann

Publication date: 1981

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173091

zbMATH Keywords

acyclic mapcentral covering of a 2-cosimple acyclic spacehomotopy equivalent to a loop spacerelation between homology and homotopy groups for not simply connected CW-complexes

Mathematics Subject Classification ID

Classification of homotopy type (55P15) Homotopy groups, general; sets of homotopy classes (55Q05) Localization and completion in homotopy theory (55P60) Homotopy functors in algebraic topology (55P65)

Related Items (5)

Doubly slice knots and metabelian obstructions ⋮ Bounds on Cheeger-Gromov invariants and simplicial complexity of triangulated manifolds ⋮ On Invariants of Hirzebruch and Cheeger-Gromov ⋮ Homology cobordism invariants and the Cochran-Orr-Teichner filtration of the link concordance group ⋮ Fibrations That are Cofibrations. II

Cites Work

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• Every connected space has the homology of a \(K\) \((\pi,1)\)
• Infinitesimal computations in topology
• Acyclic maps
• Nilpotency and H-spaces
• Acyclic spaces
• Fundamentalgruppe und zweite Bettische Gruppe
• Multiplication on Spheres (II)
• Smooth Homology Spheres and their Fundamental Groups

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