ON FAT Ψ-SPACE CONSTRUCTIONS


Maddalena Bonanzinga, Davide Giacopello‡  

Abstract: A fat Ψ-space is a Tychonoff space obtained by replacing the isolated points of a Ψ-space with more structured topological components, commonly referred to as ”building blocks”. This paper surveys the principal known constructions of such spaces and introduces a new example developed within this framework.

Keywords: covering properties, Ψ-space, fat Ψ-space.

MSC: 54D20.

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DOI   10.56082/annalsarscimath.2025.3.19

† mbonanzinaga@unime.it, University of Messina, Department of Mathematical and Computer Sciences, Physical Sciences and Earth Sciences, Viale F. Stagno d’Alcontres, Salita Sperone, 31, 98166 Messina, Italy

‡ dagiacopello@unime.it, University of Messina, Department of Mathematical and Computer Sciences, Physical Sciences and Earth Sciences, Viale F. Stagno d’Alcontres, Salita Sperone, 31, 98166 Messina, Italy


PUBLISHED in Annals Academy of Romanian Scientists Series on Mathematics and Its ApplicationVolume 17 no 3, 2025