ON n-HAUSDORFF HOMOGENEOUS AND n-URYSOHN HOMOGENEOUS SPACES

Rocky Mountain Journal of Mathematics 2026 Open access

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Authors: Maddalena Bonanzinga, Nathan A. Carlson, Davide Giacopello, Fortunato Maesano
DOI: 10.1216/rmj.2026.56.639
Cited by: 0
References: 25

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.

Fields of Study & Subjects

Advanced Topology and Set Theory Fuzzy and Soft Set Theory Advanced Banach Space Theory

Publication details

Journal / source
Rocky Mountain Journal of Mathematics
Publisher
Rocky Mountain Mathematics Consortium
Volume
56
Issue
3
Pages
639–647
Publication date
31 July 2026
Language
EN