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

被引：0
|
作者：
Bonanzinga, Maddalena [1 ]
Carlson, Nathan [2 ]
Giacopello, Davide [1 ]
机构：
[1] Univ Messina, MIFT Dept, Messina, Italy
[2] Calif Lutheran Univ, Dept Math, Thousand Oaks, CA USA
来源：
REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS | 2024年 / 118卷 / 04期
关键词：
n-Hausdorff spaces; n-Urysohn spaces; n-H-closed space; Pseudocharacter; TIGHTNESS; NUMBER;
D O I：
10.1007/s13398-024-01660-6
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
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.
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页数：13
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