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A construction of noncontractible simply connected cell-like two-dimensional Peano continua

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Publication:5310187
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DOI10.4064/fm195-3-1zbMath1148.54016arXiv0707.4047OpenAlexW1983554585MaRDI QIDQ5310187

Umed H. Karimov, Katsuya Eda, Dušan D. Repovš

Publication date: 20 September 2007

Published in: Fundamenta Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0707.4047


zbMATH Keywords

cell-like setacyclicityPeano continuumcompactuumcone-like curvenoncontractiblesince curve


Mathematics Subject Classification ID

Continua and generalizations (54F15) Pathological topological spaces (54G15) Absolute neighborhood extensor, absolute extensor, absolute neighborhood retract (ANR), absolute retract spaces (general properties) (54C55) Absolute neighborhood retracts (55M15) Homotopy groups of special spaces (55Q52) Cellularity in topological manifolds (57N60)


Related Items

On quasi-small loop groups ⋮ On 2-dimensional nonaspherical cell-like Peano continua: A simplified approach ⋮ On small \(n\)-Hawaiian loops ⋮ On the singular homology of one class of simply-connected cell-like spaces ⋮ A nonaspherical cell-like 2-dimensional simply connected continuum and related constructions



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