2014•IOSR Journal of MathematicsOpen access

- Generalized & - Separation Axioms for Topological Spaces

Thakur C. K. Raman, Vidyottama Kumari, Manisha Sharma

Abstract

The present paper introduces a new class of separation axioms called α-generalized separation axioms using α-generalized open sets and also includes the study of the connections between these separation axioms and the existing α-separation axioms.Also, here, the concept of   -closed set has been coined and then   -separation axioms have been framed w.r.t   -open sets.

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Key concepts: Mathematics, Separation axiom, Separation (statistics), Axiom, Topological space, Topology (electrical circuits), Pure mathematics, Combinatorics