Supercompactness of spaces of capacities and its consequences

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 th...

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Bibliographic Details
Main Author: Cherkovskyi T.M.
Format: Article
Language:English
Published: Vasyl Stefanyk Precarpathian National University 2013-06-01
Series:Karpatsʹkì Matematičnì Publìkacìï
Subjects:
Online Access:http://journals.pu.if.ua/index.php/cmp/article/view/174/139