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
Keywords: absolute retract; the compact extension property; contractibility; simplicial complex; partial realization
@article{CMUC_1991__32_2_a18,
author = {van der Bijl, Jos and van Mill, Jan},
title = {The compact extension property: the role of compactness},
journal = {Commentationes Mathematicae Universitatis Carolinae},
pages = {369--375},
publisher = {mathdoc},
volume = {32},
number = {2},
year = {1991},
mrnumber = {1137798},
zbl = {0753.55002},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMUC_1991__32_2_a18/}
}
TY - JOUR AU - van der Bijl, Jos AU - van Mill, Jan TI - The compact extension property: the role of compactness JO - Commentationes Mathematicae Universitatis Carolinae PY - 1991 SP - 369 EP - 375 VL - 32 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/CMUC_1991__32_2_a18/ LA - en ID - CMUC_1991__32_2_a18 ER -
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/