On sequential continuity and topological continuity
Zhang Zhi · 2001
In this paper,a sequential convergence in vector space is first given,then,from the sequential neighborhoods,the additive filterbase of absolutely convex absorbing sets is obtained,a local convex topological vector space,LCL space,is constructed.The important characteristic of the LCL space is that sequential continuity is equivalent to topological continuity.Also,the structure of topology of LCL space is discussed.