s-Topological vector spaces
(ندگان)پدیدآور
Khan, M.Azam, S.Bosan, S.
نوع مدرک
TextResearch Paper
زبان مدرک
Englishچکیده
In this paper, we have de ned and studied a generalized form of topological vector spaces called s-topological vector spaces. s-topological vector spaces are de ned by using semi-open sets and semi-continuity in the sense of Levine. Along with other results, it is proved that every s-topological vector space is generalized homogeneous space. Every open subspace of an s-topological vector space is an s-topological vector space. A homomorphism between s-topological vector spaces is semi-continuous if it is s-continuous at the identity.
کلید واژگان
s-Topological vector spaceSemi-open set
semi-closed set
semi-continuous mapping
s-continuous mapping
left (right) translation
generalized homeomorphism
generalized homogeneous space
General topology
شماره نشریه
02تاریخ نشر
2015-05-011394-02-11
ناشر
Central Tehran Branch, Islamic Azad Universityسازمان پدید آورنده
Department of Mathematics, COMSATS Institute of Information Technology, Park Road, Islamabad, PakistanPunjab Education Department, Pakistan
Punjab Education Department, Pakistan
شاپا
2252-02012345-5934