New bounds on the cardinality of n-Hausdorff and n-Urysohn spaces

2023/02/25 by Bonanzinga, Maddalena, Carlson, Nathan, Giacopello, Davide
#FOS: Mathematics #General Topology (math.GN)

paper · doi:10.48550/arxiv.2302.13060

Abstract

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 that represent variations of known results are given. Also properties of n-Urysohn n-H-closed spaces are proved.

Related

• On cardinality bounds for θⁿ-Urysohn spaces
• Variations on known and recent cardinality bounds
• On n-Hausdorff homogeneous and n-Urysohn homogeneous spaces
• Cardinal inequalities for S(n)-spaces
• New bounds on the cardinality of Hausdorff spaces and regular spaces