Quasi θ-spaces and pairwise θ-perfect irreducible mappings

Journal of the Australian Mathematical Society

A. Kandil¹ 

[1] E. E. Kerre

关键词: 54 C 10;    54 E 05;    54 E 55;   

DOI  :  10.1017/S1446788700035059

学科分类：数学（综合）

来源: Cambridge University Press

【 摘 要 】

In this paper we extend the notion of perfect, θ-continuous, irreducible and θ-perfect mappings to 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 θ-closed irreducible surjective mapping. Also we extend the notion of θ-proximity spaces to quasi θ-proximity spaces and point out the interrelation between it and separated quasi-proximity spaces by means of a pairwise θ-perfect irreducible mappings.

【 授权许可】

Unknown