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arXiv · 0804.3163

Hartman-Mycielski functor of non-metrizable compacta

Taras Radul·Dušan Repovš
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Abstract

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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Taras Radul, Dušan Repovš. 2008-04-19. Hartman-Mycielski functor of non-metrizable compacta. https://arxiv.org/abs/0804.3163

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