Geodesic
The compact extension property: the role of compactness
Commentationes Mathematicae Universitatis Carolinae, Tome 32 (1991) no. 2, pp. 369-375.

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We consider separable metrizable topological spaces. Among other things we prove that there exists a non-contractible space with the compact extension property and we prove a new version of realization of polytopes for $\operatorname{ANR}$'s.
Classification : 54C55, 55M15, 57N17, 57N20
Keywords: absolute retract; the compact extension property; contractibility; simplicial complex; partial realization 
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     title = {The compact extension property: the role of compactness},
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van der Bijl, Jos; van Mill, Jan. The compact extension property: the role of compactness. Commentationes Mathematicae Universitatis Carolinae, Tome 32 (1991) no. 2, pp. 369-375. http://geodesic.mathdoc.fr/item/CMUC_1991__32_2_a18/