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math.GN2023
On n-Hausdorff homogeneous and n-Urysohn homogeneous spaces
Maddalena Bonanzinga, Nathan Carlson, Davide Giacopello +1
In this paper we study -Hausdorff homogeneous and -Urysohn homogeneous spaces. We give some upper bounds for the cardinality of these kind of spaces and give examples. Additi…
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…