LOCAL BASES WITH STRATIFIED STRUCTURE IN $I$-TOPOLOGICAL VECTOR SPACES

author

Jin-Xuan Fang School of Mathematical Science, Nanjing Normal University, Nanjing, Jiangsu 210097, P. R. China

Abstract:

In this paper, the concept of {sl local base with stratifiedstructure} in $I$-topological vector spaces is introduced. Weprove that every $I$-topological vector space has a balanced localbase with stratified structure. Furthermore, a newcharacterization of $I$-topological vector spaces by means of thelocal base with stratified structure is given.

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Journal title

Iranian Journal of Fuzzy Systems

volume 7 issue 2

pages 83- 93

publication date 2010-06-06

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Keywords

$I$-topological vector spaces $Q$-neighborhood base $W$-neighborhood base Local base with stratified structure

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