On The Relationships Between Types of L-convergence Spaces
عنوان مقاله: On The Relationships Between Types of L-convergence Spaces
شناسه ملی مقاله: JR_IJFS-13-1_007
منتشر شده در در سال 1395
شناسه ملی مقاله: JR_IJFS-13-1_007
منتشر شده در در سال 1395
مشخصات نویسندگان مقاله:
Qiu Jin - Department of Mathematics, Liaocheng University, Liaocheng, P.R.China
Lingqiang Li - Department of Mathematics, Liaocheng University, Liaocheng, P.R.China
Guangwu Meng - Department of Mathematics, Liaocheng University, Liaocheng, P.R.China
خلاصه مقاله:
Qiu Jin - Department of Mathematics, Liaocheng University, Liaocheng, P.R.China
Lingqiang Li - Department of Mathematics, Liaocheng University, Liaocheng, P.R.China
Guangwu Meng - Department of Mathematics, Liaocheng University, Liaocheng, P.R.China
This paper focuses on the relationships between stratified L-conver-gence spaces, stratified strong L-convergence spaces and stratifiedlevelwise L-convergence spaces. It has been known that: (۱) astratified L-convergence space is precisely a left-continuousstratified levelwise L-convergence space; and (۲) a stratifiedstrong L-convergence space is naturally a stratified L-convergence space, but the converse is not true generally.In this paper, a strong left-continuity condition for stratified levelwise L-convergence space is given. It is proved that a stratified strong L-convergence space is precisely a strongly left-continuous stratifiedlevelwise L-convergence space. Then a sufficient and necessary condition for a stratified L-convergence space to be a stratified strong L-convergence space is presented.
کلمات کلیدی: L-topology, Stratified L-filter, Stratified L-convergence space
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1466663/