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 $HX$ is an absolute retract, homeomorphic to the Tychonov cube.
Volume 131, 2021
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