3 papers
math.GN2023
New bounds on the cardinality of n-Hausdorff and n-Urysohn spaces
Maddalena Bonanzinga, Nathan Carlson, Davide Giacopello
Two new cardinal functions defined in the class of -Hausdorff and -Urysohn spaces that extend pseudocharacter and closed pseudocharacter respectively are introduced. Through…
math.GN2023
New bounds on the cardinality of Hausdorff spaces and regular spaces
Nathan Carlson
Using weaker versions of the cardinal function , we derive a series of new bounds for the cardinality of Hausdorff spaces and regular spaces that do not involve no…
math.GN2016
On cardinality bounds involving the weak Lindelöf degree
Angelo Bella, Nathan Carlson
We give a general closing-off argument in Theorem 2.1 from which several corollaries follow, including (1) if is a locally compact Hausdorff space then ,…