Document Type: Research Paper


School of Mathematical Science, Nanjing Normal University, Nanjing, Jiangsu 210097, P. R. China


In this paper, the concept of {sl local base with  stratified
structure} in $I$-topological vector spaces is introduced. We
prove that every $I$-topological vector space has a balanced local
base with stratified structure. Furthermore, a new
characterization of $I$-topological vector spaces by means of the
local base with stratified structure is given.


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