On topological properties of the Hartman--Mycielski functor

Details On topological properties of the Hartman--Mycielski functor On topological properties of the Hartman--Mycielski functor

2005-12-14

arxiv.org/abs/math/0512322v1

Proc. Indian Acad. Sci. (Math. Sci.), Vol. 115, No. 4, November 2005, pp. 477-482

Mathematics

General Topology

6 pages

Scientific paper

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 ($HX$, HM$Y$) is
homeomorphic to the pair $(Q,\sigma)$ for each nondegenerated metrizable
compactum $X$ and each dense $\sigma$-compact subset $Y$.

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