separation axioms

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separation axioms

[‚sep·ə′rā·shən ′ak·sē·əmz]
(mathematics)
Properties of topological spaces such as Hansdorff, regular, and normal which reflect how points and closed sets may be enclosed in disjoint neighborhoods.
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In this paper we defined new separation axioms using vg-open sets and studied their interrelations with other separation axioms.
Balasubramanian, Generalized separation axioms, Scientia Magna, 6(2010), No.
Throughout this paper, spaces mean topological spaces on which no separation axioms are assumed unless otherwise mentioned and f: (X, [tau]) [right arrow] (Y, [sigma]) (or simply f : X [right arrow] Y) denotes a function f of a space (X, [tau]) into a space (Y, [sigma]).
Navalagi, Semi-generalized Separation Axioms in topology, Topology Atlas.
In the present section separation axioms in the fibrewise proximity spaces have been introduced.
In the present section separation axioms in fibrewise proximity spaces are defined and some results have been proved.
Throughout this paper (X, [tau]), (Y,[sigma]) and (Z, [gamma]) (or simply X, Y and Z) represent non-empty fuzzy topological spaces on which no separation axioms are assumed, unless otherwise mentioned.
Coverage progresses from traditional concepts of topological space and separation axioms, to more advanced topics of algebraic topology and manifold theory.
Here we shall be dealing with some aspects of Separation Axioms by the set of graphs.
Separation Axioms aren't axioms; they're definitions which describe the "connectedness" of a topology.
Noiri, Almost continuity and some separation axioms, Glasnik Mat.
Also we studied the interrelation with other separation axioms.

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