Geometrical properties of space I_f(X) of idempotent probability measures

2018/08/28 by Zaitov, A. A., Ishmetov, A. Ya.
#FOS: Mathematics #General Topology (math.GN)

paper · doi:10.48550/arxiv.1808.10749

Abstract

In the paper we proved that for a compact X inclusion I_f(X)∈ ANR holds if and only if X∈ ANR. Further, it is shown that the functor I_f preserves property of a compact to be Q-manyfold or a Hilbert cube, preserves property of map layers to be ANR-compact, compact Q-manyfold and a Hilbert cube (the finite sum of Hilbert cubes)

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