CONTRA-PRECONTINUOUS FUNCTION

Author (s) : B.Priya

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Abstract :
In mathematics, topology is concerned with the properties of a geometric object that are preserved under continuous deformations such as stretching, twisting, crumpling, and bending. but not tearing or gluing.A topological space, which allows defining continuous deformation of subspaces and more generally all kinds of continuity Euclidean spaces and more generally metric spaces are examples of a topological spaces, as any distance or metric defines as topology.Introduced the notions of contra-continuity in topological spaces. We defined a function f:X-Y to be contra- continuous, if the pre image of every open set of Y is closed in X.The aim of this paper is to introduce and investigate a newclass of functions called contra-pre continuous function which isweaker than contra-continuous functions.Weobtained several new and interesting results related to pre-open sets. For these sets, we introduce the notion of pre-border, pre-frontier, and pre-exterior of a set and show that some of their properties of analogous to those for open set’s.

Keywords : contra pre continuous function

Conference Date : 17/09/2021

Pages : 96

Paper ID : IESMDT94