separation axioms

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.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
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3 Separation Axioms In a neutrosophic Crisp Topological Space
* We constructed the separation axioms [N-[T.sub.1]-space, I = 0, 1, 2] in neutrosophic crisp topological and examine' the relationship between them in details.
Sharma studied generalized separation axioms. Following V.
In this paper we defined new separation axioms using vg-open sets and studied their interrelations with other separation axioms.
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.
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.
Aull studied some separation axioms between [T.sub.1] and [T.sup.2] spaces, namely, [S.sub.1] and [S.sub.2].
In the present paper we tried further to study separation axioms, its properties and characterizations using v--open sets.

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