Semi-Star-Alpha-Irresolute Topological Vector Spaces
Keywords:
Topological space, Semi*ɑ-open set, Semi*ɑ-closed set, Semi*ɑ-irresolute topological vector space, Contra Semi*ɑ-continuous function, Contra Semi*ɑ-topological vector space, Semi*ɑ-T--spaces Semi*ɑ-limit pointAbstract
We introduce and study a new class of spaces, namely semi*ɑ-irresolute topological vector spaces via semi*ɑ-open sets. We also introduce a new form of topological vector space called contra semi*ɑ-topological vector space. We explore and investigate several properties and characterizations of these new notions of semi*ɑ-irresolute topological vector space and contra semi*ɑ-topological vector space. Furthermore, we define and investigate new separation axioms, namely semi*ɑ-Ti-Spaces (I = 0, 1, 2, 3, 4) spaces and give complete descriptions for each one of them. Lastly, we introduce a new concept of semi*ɑ-limit points of a set and study main properties, particularly on the spaces that possess the difference property.
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