A compact space is homotopy equivalent to a CW-complex if and only if it is an absolute neighborhood \(h\)-retract

DOI10.1007/s11006-006-0031-9zbMath1133.55300OpenAlexW1964320112MaRDI QIDQ2473666

P. V. Chernikov

Publication date: 4 March 2008

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11006-006-0031-9

zbMATH Keywords

absolute neighborhood \(h\)-retracthomotopy type of a CW-complexneighborhood \(h\)-retract

Mathematics Subject Classification ID

Homotopy equivalences in algebraic topology (55P10) Absolute neighborhood extensor, absolute extensor, absolute neighborhood retract (ANR), absolute retract spaces (general properties) (54C55)

Cites Work

• A Generalization of the Concept of Absolute Retract
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