A UNIFIED THEORY OF OPENNESS AND CLOSEDNESS OF FUNCTIONS

Year 2005, Volume: 34 , 15 - 26, 01.01.2005

T. Hatice Yalvaç

Abstract

Kandil, Kerre and Nouh unified various concepts in fuzzy topological
spaces by using operations. By adapting their definition of an operation
and some other definitions given by these authors to topological spaces,
and by giving some new definitions, we have previously achieved some
unifications related to continuity, compactness, filters and graphs. Here
we will study the unification of openness and closedness properties of
functions, and give some results related to\varphi_{1,2}\psi_{1,2}-closed functions and \varphi_{1,2}\psi_{1,2}-compact sets.

Keywords

Openness, Closedness, Compactness, Supratopology, Unification. 2000 AMS Classification

References

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