J Austral Math Soc Ser A 52 pp322--333, 1992.

Quasi q-Spaces and Pairwise q-Perfect Irreducible Mappings

A. Kandil, E. E. Kerre, M. E. El-Shafei and A. A. Nouh

(Received 26 July 1990)

Abstract

In this paper we extend the notion of perfect, q-continuous, irreducible and q-perfect mappings on bitopological spaces. The main result is the following: the (small) image of an (i, j)-canonical open sets is an (i, j)-canonical open set under a pairwise q-closed irreducible surjective mapping. Also we extend the notion of q-proximity spaces to quasi q-proximity and point out the interrelation between it and separated quasi-proximity spaces by means of a pairwise q-perfect irreducible mappings.

1991 AMS Subject Classification: 54C10, 54E05, 54E55

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Authors

A. Kandil: Bernha University, Egypt.
E. E. Kerre: Seminar for Mathematical Analysis.
M. E. El-Shafei: State University of Gent, Belgium.
A. A. Nouh: Mansoura University, Egypt.

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Last Modified: Mon Feb 3 9:46:11 2003