On homotopy equivalence of filtered spaces

DOI10.1016/j.topol.2019.107029zbMath1436.55011OpenAlexW2996489297WikidataQ126567419 ScholiaQ126567419MaRDI QIDQ1985667

Irina Zhigulich, Sergei M. Ageev

Publication date: 7 April 2020

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

Full work available at URL: https://doi.org/10.1016/j.topol.2019.107029

zbMATH Keywords

categories of metric filtered and stratified spacesfiltered and stratified absolute extensorsMilnor's theorem on characterization of filtered homotopy equivalences

Mathematics Subject Classification ID

Equivariant homology and cohomology in algebraic topology (55N91) Eilenberg-Mac Lane spaces (55P20) Absolute neighborhood retracts (55M15) Homology of classifying spaces and characteristic classes in algebraic topology (55R40)

Cites Work

• Homotopy invariant algebraic structures on topological spaces
• Injective objects in the category of stratified spaces
• Homotopietheorie
• Unnamed Item

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