Supercompactness of spaces of capacities and its consequences

T. M. Cherkovskyi

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.

Keywords


Supercompactness, capacity, Dugundji space, absolute retract

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