• Hartman-Mycielski Functor of Non-Metrizable Compacta

• # Fulltext

https://www.ias.ac.in/article/fulltext/pmsc/118/03/0467-0472

• # Keywords

Hartman–Mycielski construction; absolute retract; Tykhonov cube; normal functor.

• # 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 $HX$ is an absolute retract, homeomorphic to the Tychonov cube.

• # Author Affiliations

1. Department of Mechanics and Mathematics, Lviv National University, Universytetska st., 1, Lviv, Ukraine 79602
2. Faculty of Mathematics and Physics, University of Ljubljana, Jadranska 21, Ljubljana, Slovenia 1000

• # Proceedings – Mathematical Sciences

Volume 131, 2021
All articles
Continuous Article Publishing mode

• # Editorial Note on Continuous Article Publication

Posted on July 25, 2019