The word problem for some uncountable groups given by countable words

DOI10.1016/j.topol.2011.10.003zbMath1250.57002arXiv1103.0725OpenAlexW2963744629MaRDI QIDQ409486

Andreas Zastrow, O. V. Bogopol'skij

Publication date: 13 April 2012

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

Full work available at URL: https://arxiv.org/abs/1103.0725

zbMATH Keywords

fundamental groupsingular homology groupGriffiths' spaceHawaiian Earringword problem for uncountable groups

Mathematics Subject Classification ID

Topological spaces and generalizations (closure spaces, etc.) (54A05) Fundamental group, presentations, free differential calculus (57M05) Singular homology and cohomology theory (55N10)

Related Items (12)

Embeddings of locally compact abelian \(p\)-groups in Hawaiian groups ⋮ On a Van Kampen theorem for Hawaiian groups ⋮ Cotorsion-free groups from a topological viewpoint ⋮ Cotorsion and wild homology ⋮ Archipelago groups ⋮ Milnor-Thurston homology groups of the Warsaw circle ⋮ An uncountable homology group, where each element is an infinite product of commutators ⋮ The Griffiths double cone group is isomorphic to the triple ⋮ On small \(n\)-Hawaiian loops ⋮ Cycle decompositions: from graphs to continua ⋮ On the Abelianization of Certain Topologist’s Products ⋮ The harmonic archipelago as a universal locally free group.

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