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In this work we introduce and study the concept of Y,Y-semiopen sets and their related functions in topological spaces.

Tipo de documento: Artículo - Article

Palabras clave: topological spaces, semiopen sets, Y, Y-open sets, Y, Y-semiopen sets.





Source: http://www.bdigital.unal.edu.co


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17(2), 125–136 (2010) 125 On [γ, γ 0 ]–semiopen sets Carlos Carpinteroa,1 Neelamegajaran Rajeshb,2 Ennis Rosasa,3 Universidad de Oriente, Núcleo de Sucre Cumaná, Venezuela Department of Mathematics, Rajah Serfoji Govt.
College Thanjavur–613005, Tamilnadu, India In this work we introduce and study the concept of [γ, γ 0 ]–semiopen sets and their related functions in topological spaces. Keywords: topological spaces, semiopen sets, [γ, γ 0 ]–open sets, [γ, γ 0 ]–semiopen sets. En este trabajo se introduce el concepto de conjuntos semiabiertos [γ, γ 0 ] y sus funciones relacionadas en espacios topológicos. Palabras claves: espacios topológicos, conjuntos semiabiertos conjuntos abiertos [γ, γ 0 ], conjuntos semiabiertos [γ, γ 0 ]. MSC: 54A05, 54A10, 54D10. 1 2 3 carpintero.carlos@gmail.com nrajesh topology@yahoo.co.in ennisrafael@gmail.com 126 1 Carpintero, Rajesh and Rosas, On [γ, γ 0 ]–semiopen sets Introduction Generalized open sets play a very important role in general topology and they are now the research topic of many topologists worldwide.
Indeed, an important subject in general topology and real analysis concerns the various modified forms of continuity, separation axioms, etc., with the use of generalized open sets.
Kasahara [1] defined the concept of an operation γ on topological spaces.
Maki and Noiri [3] introduced the notion of τ[γ,γ 0 ] , which is the collection of all [γ, γ 0 ]–open sets in a topological space (X, τ ).
In this work we introduce and study the notion of [γ, γ 0 ]–SO(X, τ ) which is the collection of all [γ, γ 0 ]–semiopen which use operations γ and γ 0 on a topological space (X, τ ).
We also introduce [γ, γ 0 ]–semicontinuous functions and investigate some of their properties. 2 Preliminaries The closure and the interior of a subset A of (X, τ ) are denoted by Cl(A) and Int(A), respectively. Definition 2.1.
[1] Let (X, τ ) be a topological space. An op...






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