Non-contractible locally connected continua with trivial homotopy groups

DOI10.1016/j.topol.2020.107454zbMath1458.55010OpenAlexW3106585645MaRDI QIDQ2219268

Yanyan Li

Publication date: 19 January 2021

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

Full work available at URL: https://doi.org/10.1016/j.topol.2020.107454

zbMATH Keywords

Hawaiian earringsimply connected spaceaspherical spacenon-contractible Peano continua

Mathematics Subject Classification ID

Continua and generalizations (54F15) Fundamental group, presentations, free differential calculus (57M05) Counterexamples in general topology (54G20) Topological (K)-theory (55N15) Homotopy groups of special spaces (55Q52)

Cites Work

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• Comparison of singular and Čech homology in locally connected spaces
• One-dimensional sets and planar sets are aspherical
• On 2-dimensional nonaspherical cell-like Peano continua: A simplified approach
• Homotopy Groups of One-Dimensional Spaces
• Hawaiian groups of topological spaces
• On noncontractible compacta with trivial homology and homotopy groups
• Homotopy types of one-dimensional Peano continua
• A Locally Simply Connected Space and Fundamental Groups of One Point Unions of Cones
• Pairs of Compacta and Trivial Shape

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