Splitting Tychonoff cubes into homeomorphic and homogeneous parts

Open Access
Authors
Publication date 15-04-2020
Journal Topology and its Applications
Article number 107018
Volume | Issue number 275
Number of pages 7
Organisations
  • Faculty of Science (FNWI) - Korteweg-de Vries Institute for Mathematics (KdVI)
Abstract Let τ be an infinite cardinal. We prove that I and the Tychonoff cube Iτ can be split into two homeomorphic and homogeneous parts. If τ is uncountable, such a partition cannot consist of spaces homeomorphic to topological groups.
Document type Article
Language English
Published at https://doi.org/10.1016/j.topol.2019.107018
Other links https://www.scopus.com/pages/publications/85077007951
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