Small loop spaces

DOI10.1016/j.topol.2009.10.003zbMath1184.55004OpenAlexW2113452439MaRDI QIDQ1044876

Žiga Virk

Publication date: 15 December 2009

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

Full work available at URL: https://doi.org/10.1016/j.topol.2009.10.003

zbMATH Keywords

fundamental groupcovering spacesmall loop space

Mathematics Subject Classification ID

Covering spaces and low-dimensional topology (57M10) Homotopy groups, general; sets of homotopy classes (55Q05) Finite groups of transformations in algebraic topology (including Smith theory) (55M35)

Related Items (15)

On a Van Kampen theorem for Hawaiian groups ⋮ Fundamental groups of James reduced products ⋮ On quasi-small loop groups ⋮ Realizations of countable groups as fundamental groups of compacta ⋮ Small loop transfer spaces with respect to subgroups of fundamental groups ⋮ Cotorsion and wild homology ⋮ Homotopical smallness and closeness ⋮ On semilocally simply connected spaces ⋮ Small loop spaces and covering theory of non-homotopically Hausdorff spaces ⋮ On strong small loop transfer spaces relative to subgroups of fundamental groups ⋮ On small \(n\)-Hawaiian loops ⋮ Thick Spanier groups and the first shape group ⋮ Some results in quasitopological homotopy groups ⋮ Category of $H$-groups ⋮ On topologized fundamental groups with small loop transfer viewpoints

Cites Work

• Unnamed Item
• On small homotopies of loops
• On the fundamental groups of one-dimensional spaces
• Rips complexes and covers in the uniform category
• Covering maps for locally path-connected spaces
• Generalized universal covering spaces and the shape group
• THE FUNDAMENTAL GROUP OF TWO SPACES WITH A COMMON POINT

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