摘要
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].
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].
基金
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)。