TY - JOUR
AU - Cherkovskyi, T.M.
PY - 2013/06/21
Y2 - 2024/03/05
TI - Supercompactness of spaces of capacities and its consequences
JF - Carpathian Mathematical Publications
JA - Carpathian Math. Publ.
VL - 5
IS - 1
SE - Scientific articles
DO - 10.15330/cmp.5.1.143-149
UR - https://journals.pnu.edu.ua/index.php/cmp/article/view/3663
SP - 143-149
AB - It is proved that the space of normalized real-valued capacities on an openly generated compactum is an absolute retract. Existence of a normal binary subbase for closed subsets in the space of normalized lattice-valued capacities on an openly generated compactum is also shown, which implies that this space is a Dugundji space.
ER -