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 Cet article a éte moissonné depuis la source Math-Net.Ru

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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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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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