s-topological vector spaces
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abstract
in this paper, we have de ned and studied a generalized form of topological vectorspaces 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 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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Journal title:
journal of linear and topological algebra (jlta)جلد ۴، شماره ۰۲، صفحات ۱۵۳-۱۵۸
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