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math.GN2019
Free sequences and the tightness of pseudoradial spaces
Santi Spadaro
Let be the supremum of cardinalities of free sequences in . We prove that the radial character of every Lindelöf Hausdorff almost radial space and the set-tightness o…
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…