Chinese Quarterly Journal of Mathematics >

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

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

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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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

Cite this article

CAO Chun-fang, SHEN Rong-xin . On Products and Diagonal of Mappings in Generalized Topological Space[J]. Chinese Quarterly Journal of Mathematics, 2019 , 34(4) : 343 -351 . DOI: 10.13371/j.cnki.chin.q.j.m.2019.04.002

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