n-Hausdorff 和 n-Urysohn 空间心性的新界限

Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas Pub Date : 2024-09-17 DOI:10.1007/s13398-024-01660-6

Maddalena Bonanzinga, Nathan Carlson, Davide Giacopello

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摘要

介绍了在 n-Hausdorff 和 n-Urysohn 空间类中定义的两个新的万有引力函数，它们分别扩展了伪特征和封闭伪特征。通过这些新函数，给出了代表已知结果变化的 n-Urysohn 空间的万有引力边界。此外，还证明了 n-Urysohn n-H 封闭空间的性质。

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

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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Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas

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