具有Pytkeev^(*)网的空间的映射性质  

The mapping properties of the space with certain Pytkeev^(*)networks

作　　者：邵辉 刘鑫 SHAO Hui;LIU Xin(School of Mathematics and Physics,Ningde Normal University,Ningde,Fujian 363000,China)

机构地区：[1]宁德师范学院数理学院,福建宁德352000

出　　处：《闽南师范大学学报（自然科学版）》2023年第3期51-54,共4页Journal of Minnan Normal University：Natural Science

基　　金：福建省自然科学基金(2020J05230);宁德师范学院重大项目培育计划(2018ZDK11)。

摘　　要：讨论具有特定Pytkeev^(*)网的空间的映射性质,证明闭映射和有限到一伪开映射保持具有Pytkeev^(*)网的空间,并更进一步地说明了闭映射保持具有点可数Pytkeev^(*)网的空间.同时,给出例子说明某些具有特定Pytkeev^(*)网的空间不能被一些映射保持.The paper discusses the mapping properties of the spaces with certain Pytkeev^(*)network are discussed,proves that closed mapping and finite to one pseudo-open mapping preserve Pytkeev^(*)networks,and further demonstrates that closed mapping preserves spaces with point-countable Pytkeev^(*)networks.Meanwhile,some examples are given to illustrate that some spaces with certain Pytkeev^(*)networks cannot be preserved by some mappings.

关 键 词：拓扑空间 Pytkeev^(*)网 闭映射 伪开映射 

分 类 号：O189.1[理学—数学]