Researches on point-discrete families

doi:10.3868/s140-DDD-023-0029-x

Front. Math. China

2023, Vol. 18

Issue (6) : 415-430 https://doi.org/10.3868/s140-DDD-023-0029-x

Researches on point-discrete families

Shou LIN^1,²(

), Rongxin SHEN³

¹. School of Mathematics and Statistics, Minnan Normal University, Zhangzhou 363000, China
². Institute of Mathematics, Ningde Normal University, Ningde 352100, China
³. Department of Mathematics and Physics, Taizhou University, Taizhou 225300, China

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Abstract

Based on the modern development of Metrization theorem for context, the main results obtained in recent ten years on point-discrete families are summarized. This paper mainly introduces the theory of the spaces with $σ$ -point-discrete bases, the spaces with certain $σ$ -point-discrete networks, and the relationship between the above spaces and the spaces with certain $σ$ -compact-finite networks.

Keywords Point-discrete families compact-finite families generalized metrizable spaces k-net weak bases

Corresponding Author(s): Shou LIN

Online First Date: 27 February 2024 Issue Date: 05 March 2024

Cite this article:

Shou LIN,Rongxin SHEN. Researches on point-discrete families[J]. Front. Math. China, 2023, 18(6): 415-430.

URL:

https://academic.hep.com.cn/fmc/EN/10.3868/s140-DDD-023-0029-x
https://academic.hep.com.cn/fmc/EN/Y2023/V18/I6/415

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