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Abstract Let τ be an infinite cardinal. We prove that I and the Tychonoff cube I τ can be split into two homeomorphic and homogeneous parts. If τ is uncountable,… Click to show full abstract
Abstract Let τ be an infinite cardinal. We prove that I and the Tychonoff cube I τ can be split into two homeomorphic and homogeneous parts. If τ is uncountable, such a partition cannot consist of spaces homeomorphic to topological groups.
Keywords:
homeomorphic homogeneous;
cubes homeomorphic;
tychonoff cubes;
splitting tychonoff;
homogeneous parts
Journal Title: Topology and its Applications
Year Published: 2020
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Journal Title: Topology and its Applications
Year Published: 2020
Link to full text (if available)
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recommendations!