The fundamental group of a compact metric space

DOI10.1090/S0002-9939-98-04399-8zbMath0916.03034OpenAlexW1504893210MaRDI QIDQ4211053

Janusz Pawlikowski

Publication date: 10 September 1998

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-98-04399-8

zbMATH Keywords

fundamental groupPolish spacecompact metric spaceBaire categoryperfect set

Mathematics Subject Classification ID

Homotopy groups, general; sets of homotopy classes (55Q05) Descriptive set theory (03E15) Other combinatorial set theory (03E05) Homotopy groups of special spaces (55Q52)

Related Items (7)

Embeddings of locally compact abelian \(p\)-groups in Hawaiian groups ⋮ Metric spaces with discrete topological fundamental group ⋮ Realizations of countable groups as fundamental groups of compacta ⋮ Homotopical smallness and closeness ⋮ Shift maps and their variants on inverse limits with set-valued functions ⋮ On definable subgroups of the fundamental group ⋮ EVERY COUNTABLE GROUP IS THE FUNDAMENTAL GROUP OF SOME COMPACT SUBSPACE OF

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