P. V. Chernikov, “A Compact Space Is Homotopy Equivalent to a CW-Complex If and Only If It Is an Absolute Neighborhood <nobr>$h$</nobr>-Retract”, Mat. Zametki, 2006, Volume 79, Issue 2,Pages <nobr>309

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A Compact Space Is Homotopy Equivalent to a CW-Complex If and Only If It Is an Absolute Neighborhood $h$-Retract

P. V. Chernikov

Novosibirsk State University

Abstract: It is proved that a compact space is homotopy equivalent to a CW-complex if and only if it is an absolute neighborhood $h$-retract.

UDC: 513.83

Received: 04.11.2004
Revised: 14.06.2005

DOI: 10.4213/mzm2670

English version: Mathematical Notes, 2006, 79:2, 283–284

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