Abstract
We investigate certain topological properties of the normal functor H, introduced by the first author, which is a certain functorial compactification of the Hartman-Mycielski construction HM. We prove that H is always open and we also find the condition when H X is an absolute retract, homeomorphic to the Tychonov cube.
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Radul, T., Repovš, D. Hartman-Mycielski functor of non-metrizable compacta. Proc Math Sci 118, 467–472 (2008). https://doi.org/10.1007/s12044-008-0035-3
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DOI: https://doi.org/10.1007/s12044-008-0035-3