s-Topological vector spaces
الموضوعات :
M. Khan
1
(Department of Mathematics, COMSATS Institute of Information
Technology, Park Road, Islamabad, Pakistan)
S. Azam
2
(Punjab Education Department, Pakistan)
S. Bosan
3
(Punjab Education Department, Pakistan)
الکلمات المفتاحية: s-Topological vector space, Semi-open set, semi-closed set, s-continuous mapping, left (right) translation, generalized homeomorphism, generalized homogeneous space, semi-continuous mapping,
ملخص المقالة :
In this paper, we have defined and studied a generalized form of topological vectorspaces called s-topological vector spaces. s-topological vector spaces are defined by using semi-open sets and semi-continuity in the sense of Levine. Along with other results, it is provedthat every s-topological vector space is generalized homogeneous space. Every open subspaceof an s-topological vector space is an s-topological vector space. A homomorphism betweens-topological vector spaces is semi-continuous if it is s-continuous at the identity.
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