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...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].展开更多
This paper takes some investigations on generalized topological spaces with some μ- separations. Some characterizations of μTi-spaces for i = 0, 1, 2, 3, 4, μTn-spaces and μR0-spaces are obtained and some relation...This paper takes some investigations on generalized topological spaces with some μ- separations. Some characterizations of μTi-spaces for i = 0, 1, 2, 3, 4, μTn-spaces and μR0-spaces are obtained and some relations among these spaces are established.展开更多
基金Supported by the National Natural Science Foundation of China(11501404)Jiangsu Planned Talent Projects(2016-JY-078)+1 种基金Jiangsu Jiaogai Projects Fundations(2017JSJG490)Jiangsu Qing Lan Project(PY2016006)。
文摘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(10971185)
文摘This paper takes some investigations on generalized topological spaces with some μ- separations. Some characterizations of μTi-spaces for i = 0, 1, 2, 3, 4, μTn-spaces and μR0-spaces are obtained and some relations among these spaces are established.
基金This work was supported in part by the National Natural Science Foundation of China （Grant Nos. 10825101, 10861004, 11101266）, SMSTC grant no. 12XD1405000, Fundamental Research Funds for the Central Universities, and Science ＆ Technology Program of Shanghai Maritime University.
文摘We determine the derivation algebra and the automorphism group of the generalized topological N = 2 superconformal algebra.
