广义拓扑空间中的积和对角映射

曹春芳, 沈荣鑫

doi:10.13371/j.cnki.chin.q.j.m.2019.04.002

数学季刊 >

2019 , Vol. 34 >Issue 4: 343 - 351

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2019.04.002

广义拓扑空间中的积和对角映射

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收稿日期: 2019-02-21

网络出版日期: 2020-08-21

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On Products and Diagonal of Mappings in Generalized Topological Space

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Department of Mathematics,Taizhou University

Received date: 2019-02-21

Online published: 2020-08-21

Supported by

Supported by the National Natural Science Foundation of China(11501404)； Jiangsu Planned Talent Projects(2016-JY-078)； Jiangsu Jiaogai Projects Fundations(2017JSJG490)； Jiangsu Qing Lan Project(PY2016006)；

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曹春芳, 沈荣鑫 . 广义拓扑空间中的积和对角映射[J]. 数学季刊, 2019 , 34(4) : 343 -351 . DOI: 10.13371/j.cnki.chin.q.j.m.2019.04.002

Abstract

Based on the theory of products of generalized topologies,we introduce the product mappings and the diagonal mappings in generalized topological spaces in this paper.We investigate some basic properties(especially,the continuity,openness and closedness) of the product mappings and the diagonal mappings in generalized topological spaces.Some applications are given to answer two questions raised in [3].

Key words： Product mappings; Diagonal mappings; Generalized topology

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