On noncontractible compacta with trivial homology and homotopy groups

DOI10.1090/S0002-9939-09-10217-4zbMath1196.54057arXiv0910.0531OpenAlexW2080828810MaRDI QIDQ3552147

Umed H. Karimov, Dušan D. Repovš

Publication date: 13 April 2010

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

Full work available at URL: https://arxiv.org/abs/0910.0531

zbMATH Keywords

weak homotopy equivalencePeano continuumHawaiian groupadmissible spectrumnoncontractible continuum

Mathematics Subject Classification ID

Continua and generalizations (54F15) Fundamental group, presentations, free differential calculus (57M05) Counterexamples in general topology (54G20) Topological (K)-theory (55N15)

Related Items (6)

Embeddings of locally compact abelian \(p\)-groups in Hawaiian groups ⋮ On Hawaiian groups of some topological spaces ⋮ On small \(n\)-Hawaiian loops ⋮ Non-contractible locally connected continua with trivial homotopy groups ⋮ On the singular homology of one class of simply-connected cell-like spaces ⋮ On Hawaiian groups of the infinite dimensional Hawaiian earring

Cites Work

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• A nonaspherical cell-like 2-dimensional simply connected continuum and related constructions
• Chapman's classification of shapes. A proof using collapsing
• On the groups \(J(X)\). IV
• ON UNSTABLE HOMOTOPY OF SPHERES AND CLASSICAL GROUPS
• Hawaiian groups of topological spaces
• A counterexample in shape theory
• On a method of constructing ANR-sets. An application of inverse limits
• An Example in Cech Cohomology

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