A generalization of M-separability by networks Maddalena Bonanzinga; Davide Giacopello
Atti della Accademia peloritana dei pericolanti. Classe I di scienze fis., mat. e naturali,
01/2023, Letnik:
101, Številka:
2
Journal Article
In this paper we consider some recent relative versions of Menger property called set strongly star Menger and set star Menger properties and the corresponding Hurewicz-type properties. In ...particular, using 2, we "easily" prove that the set strong star Menger and set strong star Hurewicz properties are between countable compactness and the property of having countable extent. Also we show that the extent of a regular set star Menger or a set star Hurewicz space cannot exceed c. Moreover, we construct (1) a consistent example of a set star Menger (set star Hurewicz) space which is not set strongly star Menger (set strongly star Hurewicz) and show that (2) the product of a set star Menger (set star Hurewicz) space with a compact space need not be set star Menger (set star Hurewicz). In particular, (1) and (2) answer some questions posed by Kočinac, Konca and Singh in 17 and 23.
Some variations of the Banach-Mazur game Aurichi, Leandro F.; Bonanzinga, Maddalena; Medina, Gabriel Andre Asmat
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A, Matemáticas,
04/2024, Letnik:
118, Številka:
2
Journal Article
Recenzirano
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The classical Banach-Mazur game is directly related to the Baire property and the property of being a productively Baire space. In this paper, we discuss two variations of this classic game that are ...even more related to these properties.
A space X is selectively strongly star-Menger (briefly, selSSM) if for each sequence ... In this paper, we study some properties of selectively strongly star-Menger spaces, the relation with related ...properties and give some example distinguishing the properties considered.
Star covering properties and neighborhood assignments Fortunata Aurora Basile; Maddalena Bonanzinga; Fortunato Maesano ...
Atti della Accademia peloritana dei pericolanti. Classe I di scienze fis., mat. e naturali,
01/2023, Letnik:
101, Številka:
1
Journal Article
Absolutes and n-H-closed spaces Fortunata Aurora Basile; Maddalena Bonanzinga; Nathan Carlson ...
Atti della Accademia peloritana dei pericolanti. Classe I di scienze fis., mat. e naturali,
01/2021, Letnik:
99, Številka:
2
Journal Article
In this paper we consider some recent properties defined by relative versions of star-covering properties and note that some of them are in fact characterizations of the original property or, ...surprisingly, of known properties. We study “non absurd” properties and their behaviour with respect to related properties. Also we answer some questions posed in 4 and 17.
Monotone normality and related properties Fortunata Aurora Basile; Maddalena Bonanzinga; Maria Vittoria Cuzzupè
Atti della Accademia peloritana dei pericolanti. Classe I di scienze fis., mat. e naturali,
01/2018, Letnik:
96, Številka:
2
Journal Article
Recenzirano
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In this paper monotone versions of some results on normality and on property (a) are investigated.
In A.V. Arhangel'skii and J. van Mill, On topological groups with a first-countable remainder, Top. Proc. 42 (2013), 157-163 it is proved that the character of a non-locally compact topological ...group with a first countable remainder doesn't exceed $\omega_1$ and a non-locally compact topological group of character $\omega_1$ having a compactification whose reminder is first countable is given. We generalize these results in the general case of an arbitrary infinite cardinal k.
In these notes we introduce and investigate two new games called R-nw-selective game and the M-nw-selective game. These games naturally arise from the corresponding selection principles involving ...networks introduced in 5.
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