Chinese Quarterly Journal of Mathematics ›› 2019, Vol. 34 ›› Issue (4): 343-351.doi: 10.13371/j.cnki.chin.q.j.m.2019.04.002

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On Products and Diagonal of Mappings in Generalized Topological Space

  

  1. Department of Mathematics,Taizhou University
  • Received:2019-02-21 Online:2019-12-30 Published:2020-08-21
  • Contact: CAO Chun-fang (1978-), femal, native Taizhou, Jiangsu, associate professor of Taizhou University, MD, engages in topology; SHEN Rong-xin (1981-), male, native Taizhou, Jiangsu, professor of Taizhou University, Ph.D., engages in topology.
  • 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);

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

CLC Number: