Browsing by Author "Subbulakshmi D"

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    Gn-CONTINUOUS IN TOPOLOGICAL SPACES
    (Advances in Mathematics: Scientific Journal, 2019) Subbulakshmi D; Sumathi K; Indirani K
    In this paper a new class of functions namely gη-continuous in the light of gη-closed sets in topological spaces are introduced. Further some of their characterizations are investigated.
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    GΗ-CLOSED SETS IN TOPOLOGICAL SPACES
    (Blue Eyes Intelligence Engineering &Sciences Publication, 2019-09) Subbulakshmi D; Sumathi K; Indirani K
    In this paper a new class of sets namely gη-closed sets in the light of η-open sets in topological spaces are introduced. Further some of their characterizations are investigated.
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    GΗ-CLOSED, CONTINUITY AND CONTRA CONTINUITY IN TOPOLOGICAL ORDERED SPACES
    (International Journal of Aquatic Science, 2021) Sumathi K; Arunachalam T; Subbulakshmi D; Indirani K
    The aim of this paper is to introduce a new class of closed sets in topological ordered spaces called xgη-closed sets and obtain some of its characteristics. The concept of continuous and contra continuous functions are called xgη-continuous, xcontragη continuous is defined and obtained some of its properties
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    GΗ-HOMEOMORPHISM IN TOPOLOGICAL ORDERED SPACES
    (Annals of the Romanian Society for Cell Biology, 2021-04-01) Sumathi K; Arunachalam T; Subbulakshmi D; Indirani K
    The aim of this paper is to introduce a new class of closed map, open map and homeomorphism in topological ordered spaces called xgη-closed map, xgη-open map are obtained. The concept of homeomorphism is called xgη-homeomorphism is defined and obtained some of its properties.
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    GΗ-SEPARATION AXIOMS IN TOPOLOGICAL SPACES
    (Turkish Journal of Computer and Mathematics Education, 2021-04) Sumathi K; Arunachalam T; Subbulakshmi D; Indirani K
    In this paper a new class of separation axioms in topological spaces is used in gη-closed sets. The concept ofgη-Tk spaces for k = 0, 1, 2, gη-Dk spaces for k = 0, 1, 2 and gη-Rk spaces for k = 0, 1 and some of their properties are investigated.
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    STUDIES ON CLOSED SETS IN TOPOLOGICAL SPACES AND TOPOLOGICAL ORDERED SPACES
    (2021) Subbulakshmi D; Sumathi K
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    η -OPEN SETS IN TOPOLOGICAL SPACES
    (International Journal of Innovative Technology and Exploring Engineering, 2019) Subbulakshmi D; Sumathi K; Indirani K
    In this paper a new class of open sets in a topological space called η-open sets is defined and the inclusive relationship of this set with the other existing sets like semi open, pre-open, α-open, r-open sets are discussed. In addition to this the concept of η-interior, η-closure, η-boundary, η-exterior, η-derived, η-border, η-neighbourhood, η-dense, η-residual are also introduced