Hartman-Mycielski functor of non-metrizable compacta

Details Hartman-Mycielski functor of non-metrizable compacta Hartman-Mycielski functor of non-metrizable compacta

2008-04-19

arxiv.org/abs/0804.3163v1

Proc. Indian Acad. Sci. (Math. Sci.) 118:3 (2008), 467-472

Mathematics

General Topology

Scientific paper

We investigate some topological properties of a normal functor $H$ introduced
earlier by Radul which is a certain functorial compactification of the
Hartman-Mycielski construction $HM$. We show that $H$ is open and find the
condition when $HX$ is an absolute retract homeomorphic to the Tychonov cube.

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