It is shown that the hyperspace of a connected CW-complex is an absolute retract for stratifiable spaces, where the hyperspace is the space of non-empty compact (connected) sets with the Vietoris topology.
@article{10_4064_fm_143_1_23_40,
author = {Bao-Lin Guo and Katsuro Sakai },
title = {Hyperspaces of {CW-complexes}},
journal = {Fundamenta Mathematicae},
pages = {23--40},
year = {1993},
volume = {143},
number = {1},
doi = {10.4064/fm-143-1-23-40},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/fm-143-1-23-40/}
}
TY - JOUR
AU - Bao-Lin Guo
AU - Katsuro Sakai
TI - Hyperspaces of CW-complexes
JO - Fundamenta Mathematicae
PY - 1993
SP - 23
EP - 40
VL - 143
IS - 1
UR - http://geodesic.mathdoc.fr/articles/10.4064/fm-143-1-23-40/
DO - 10.4064/fm-143-1-23-40
LA - en
ID - 10_4064_fm_143_1_23_40
ER -