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pro vyhledávání: '"GIACOPELLO, DAVIDE"'
In this paper we investigate R-,H-, and M-{\it nw}-selective properties introduced in \cite{BG}. In particular, we provide consistent uncountable examples of such spaces and we define \textit{trivial} R-,H-, and M-{\it nw}-selective spaces the ones w
Externí odkaz:
http://arxiv.org/abs/2407.18713
Autor:
Giacopello, Davide
We deal with the class of Hausdorff spaces having a $\pi$-base whose elements have an H-closed closure. Carlson proved that $|X|\leq 2^{wL(X)\psi_c(X)t(X)}$ for every quasiregular space $X$ with a $\pi$-base whose elements have an H-closed closure. W
Externí odkaz:
http://arxiv.org/abs/2401.17160
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 \cite{BG}.
Externí odkaz:
http://arxiv.org/abs/2312.12052
In this paper 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 2-homog
Externí odkaz:
http://arxiv.org/abs/2302.13604
Two new cardinal functions defined in the class of $n$-Hausdorff and $n$-Urysohn spaces that extend pseudocharacter and closed pseudocharacter respectively are introduced. Through these new functions bounds on the cardinality of $n$-Urysohn spaces th
Externí odkaz:
http://arxiv.org/abs/2302.13060
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 \cite {BMae}, we "easily" prove that the se
Externí odkaz:
http://arxiv.org/abs/2211.08299
Publikováno v:
In Topology and its Applications 15 June 2024 351
Akademický článek
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Autor:
BONANZINGA, MADDALENA1 mbonanzinga@unime.it, GIACOPELLO, DAVIDE1
Publikováno v:
AAPP Physical, Mathematical & Natural Sciences / Atti della Accademia Peloritana dei Pericolanti: Classe di Scienze Fisiche, Matematiche e Naturali. 2023, Vol. 101 Issue 2, p1-11. 11p.
Autor:
BONANZINGA, MADDALENA1 mbonanzinga@unime.it, GIACOPELLO, DAVIDE1 dagiacopello@unime.it, MAESANO, FORTUNATO1 fomaesano@unime.it
Publikováno v:
Applied General Topology. 2023, Vol. 24 Issue 2, p391-405. 15p.