We study n-Hausdorff homogeneous and n-Urysohn homogeneous spaces. We give some upper bounds for the cardinality of these kind of spaces and give examples. Additionally we show that for every n>2, there is no n-Hausdorff non-Hausdorff 2-homogeneous space. Finally, for any n-Hausdorff space, where n≥ 2, we show that X can be embedded in a homogeneous space that is the countable union of n-H-closed spaces.
ON n-HAUSDORFF HOMOGENEOUS AND n-URYSOHN HOMOGENEOUS SPACES
Bonanzinga M.;Giacopello D.;
2026-01-01
Abstract
We study n-Hausdorff homogeneous and n-Urysohn homogeneous spaces. We give some upper bounds for the cardinality of these kind of spaces and give examples. Additionally we show that for every n>2, there is no n-Hausdorff non-Hausdorff 2-homogeneous space. Finally, for any n-Hausdorff space, where n≥ 2, we show that X can be embedded in a homogeneous space that is the countable union of n-H-closed spaces.File in questo prodotto:
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