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20122020
most citedInfinite games and cardinal properties of topological spaces

4 citations · 4 across the 7 of their papers we have counts for

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math.GN2020

A common extension of Lindelöf, H-closed and ccc

Angelo Bella

The inequality has been proved to be true for Lindelöf spaces (Arhangel'ski\uı, 1969), -closed spaces (Dow-Porter, 1982) and ccc spaces (Hajnal-Juász 1967),…

math.GN2020

Upper bounds for the tightness of the -topology

Angelo Bella, Santi Spadaro

We prove that if is a regular space with no uncountable free sequences, then the tightness of its topology is at most continuum and if is in addition Lindelöf then it…

math.GN2019

On Cellular-Compact and related spaces

Angelo Bella

Tkachuk and Wilson proved that a regular first countable cellular-compact space has cardinality not exceeding the continuum. In the same paper they asked if this result continues t…

math.GN2019

A common extension of Arhangel'skii's Theorem and the Hajnal-Juhasz inequality

Angelo Bella, Santi Spadaro

We present a bound for the weak Lindelöf number of the -modification of a Hausdorff space which implies various known cardinal inequalities, including the following two fundam…

math.GN2019

Pseudoradial spaces and copies of

Angelo Bella, Alan Dow, Rodrigo Hernández-Gutiérrez

In this paper we compare the concepts of pseudoradial spaces and the recently defined strongly pseudoradial spaces in the realm of compact spaces. We show that $\mathrm{MA}+\mathfr…

math.GN2019

On weakening tightness to weak tightness

Angelo Bella, Nathan Carlson

The weak tightness of a space was introduced in [11] with the property . We investigate several well-known results concerning and consider whethe…