Supercompactness of spaces of capacities and its consequences

  • T.M. Cherkovskyi Vasyl Stefanyk Precarpathian National University, 57 Shevchenka str., 76018, Ivano-Frankivsk, Ukraine
Keywords: supercompactness, capacity, Dugundji space, absolute retract
Published online: 2013-06-21

Abstract


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.

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How to Cite
(1)
Cherkovskyi T. Supercompactness of Spaces of Capacities and Its Consequences. Carpathian Math. Publ. 2013, 5 (1), 143-149.