The behavior on fundamental group of a free pro-homotopy equivalence

DOI10.1016/0166-8641(82)90033-5zbMath0481.55007OpenAlexW2038313524MaRDI QIDQ1162288

Jerzy Dydak, Ross Geoghegan

Publication date: 1982

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0166-8641(82)90033-5

zbMATH Keywords

endseffects of free homotopy equivalences on the fundamental groupfinite dimensional K(G,1)-spacesfree prohomotopy equivalencepointed pro-homotopy equivalenceshape theory and proper homotopy

Mathematics Subject Classification ID

Fundamental group, presentations, free differential calculus (57M05) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Shape theory (55P55) Shapes (aspects of topological manifolds) (57N25)

Related Items

Detecting homotopy equivalences in base-point-free homotopy, The behavior on fundamental group of a free pro-homotopy equivalence. II, Semigroup structures on derived limits, Empty components in strong shape theory

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