On topological properties of the Hartman--Mycielski functor
Taras Radul, Dusan Repovs
Abstract
We investigate some topological properties of a normal functor H introduced earlier by Radul which is some functorial compactification of the Hartman--Mycielski construction HM. We prove that the pair (HX, HMY) is homeomorphic to the pair (Q,σ) for each nondegenerated metrizable compactum X and each dense σ-compact subset Y.
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