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LOCAL BASES WITH STRATIFIED STRUCTURE IN $I$-TOPOLOGICAL VECTOR SPACES | ||
Iranian Journal of Fuzzy Systems | ||
مقاله 7، دوره 7، شماره 2، شهریور 2010، صفحه 83-93 اصل مقاله (240.46 K) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22111/ijfs.2010.177 | ||
نویسنده | ||
Jin-Xuan Fang* | ||
School of Mathematical Science, Nanjing Normal University, Nanjing, Jiangsu 210097, P. R. China | ||
چکیده | ||
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. | ||
کلیدواژهها | ||
$I$-topological vector spaces؛ $Q$-neighborhood base؛ $W$-neighborhood base؛ Local base with stratified structure | ||
مراجع | ||
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