IJPAM: Volume 81, No. 1 (2012)

$\gamma$-$\beta$-CONNECTEDNESS

M.K. Ghosh$^1$, C.K. Basu$^2$
$^1$Department of Mathematics
Dumkal College
Basantapur, 742406, Murshidabad, West Bengal, INDIA
$^2$Department of Mathematics
West Bengal State University
Berunanpukuria, Malikapur, Barasat
Kolkata-700126, 24 Pgs. (N), West Bengal, INDIA


Abstract. The purpose of this paper is to introduce and study $\gamma$-$\beta$-connectedness in terms of $\gamma$-$\beta$-open sets [#!bmu!#] defined using an operator $\gamma$ due to Ogata [#!oga!#]. Several characterizations, basic properties and preservation theorems of $\gamma$-$\beta$-connectedness are obtained. The concepts like $\gamma$-$\beta$-component, $\gamma$-$\beta$-quasi-component and local $\gamma$-$\beta$ connectedness are also investigated.

Received: June 5, 2012

AMS Subject Classification: 54A05, 54C08, 54C10, 54D05

Key Words and Phrases: $\beta$-open set, $\gamma$-$\beta$-open set, $\gamma$-$\beta$-separated, $\gamma$-$\beta$-connected, $\gamma$-$\beta$-continuous, $\gamma$-$\beta$-locally connected

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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2012
Volume: 81
Issue: 1