Homotopy properties of subsets of Euclidean spaces

DOI10.1016/j.topol.2015.08.016zbMath1326.55012OpenAlexW1791500712MaRDI QIDQ500932

Yong-Cai Geng, Sumit K. Garg

Publication date: 8 October 2015

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

Full work available at URL: https://doi.org/10.1016/j.topol.2015.08.016

zbMATH Keywords

homotopy groups\(n\)-connected space\(n\)-homotopically Hausdorff propertylocally \(n\)-connected space

Mathematics Subject Classification ID

Homotopy groups, general; sets of homotopy classes (55Q05) Metric spaces, metrizability (54E35) Homotopy groups of special spaces (55Q52)

Related Items (2)

On a Van Kampen theorem for Hawaiian groups ⋮ On small \(n\)-Hawaiian loops

Cites Work

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• On the homotopy groups of separable metric spaces
• Homotopical smallness and closeness
• The fundamental groups of subsets of closed surfaces inject into their first shape groups
• On small homotopies of loops
• On nondiscreteness of a higher topological homotopy group and its cardinality
• On the fundamental groups of one-dimensional spaces
• Elementary construction of exhausting subsolutions of elliptic operators
• Rips complexes and covers in the uniform category
• Covering maps for locally path-connected spaces
• On Topological Homotopy Groups of $n$-Hawaiian like spaces
• Can the Fundamental (Homotopy) Group of a Space be the Rationals?
• On quasitopological homotopy groups of Inverse Limit Spaces
• On the existence of universal covering spaces for metric spaces and subsets of the Euclidean plane

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