On topological properties of the Hartman-Mycielski functor
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We investigate some topological properties of a normal functorH introduced earlier by Radul which is some functorial compactification of the Hartman-Mycielski construction HM. We prove that the pair (H X, HMY) is homeomorphic to the pair (Q, σ) for each nondegenerated metrizable compactumX and each denseσ-compact subsetY.
KeywordsHilbert cube Hartman-Mycielski construction equiconnected space normal functor metrizable compactum absolute retract
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