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

  • Maddalena Bonanzinga,
  • Nathan Carlson,
  • Davide Giacopello

摘要

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.