Jos van der Bijl, Jan van Mill
The compact extension property: the role of compactness

Comment.Math.Univ.Carolinae 32,2 (1991) 369-375.

Abstract: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.

Keywords: absolute retract, the compact extension property, contractibility, simplicial complex, partial realization
AMS Subject Classification: 55M15, 57N17