Geodesic
A Compact Space Is Homotopy Equivalent to a CW-Complex If and Only If It Is an Absolute Neighborhood $h$-Retract
Matematičeskie zametki, Tome 79 (2006) no. 2, pp. 309-310 
P. V. Chernikov. A Compact Space Is Homotopy Equivalent to a CW-Complex If and Only If It Is an Absolute Neighborhood $h$-Retract. Matematičeskie zametki, Tome 79 (2006) no. 2, pp. 309-310. http://geodesic.mathdoc.fr/item/MZM_2006_79_2_a13/
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     title = {A~Compact {Space} {Is} {Homotopy} {Equivalent} to a {CW-Complex} {If} and {Only} {If} {It} {Is} an {Absolute} {Neighborhood} $h${-Retract}},
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Voir la notice de l'article provenant de la source Math-Net.Ru

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.

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