On Quasiopen Sets

Abstract

雙위상공간상에서 準개집합을 정의하고 또한 準T₁공간을 정의하여, 일반위상공간상에서 만족되는 정리(T₁공간이 되기위한 필요충분조건?? singleton subset 모두가 closed이다)가 雙위상공간상에서도 마찬가지로 만족됨을 보인다.

In a bitopological space, we define a quasiopenset and a quasi T₁-space as well. And we show that the theorem satisfied in a general topological space (A topological space is T₁-space iff every singleton subset is closed) is also constitued in the bitopological space.

In a bitopological space, we define a quasiopenset and a quasi T₁-space as well. And we show that the theorem satisfied in a general topological space (A topological space is T₁-space iff every singleton subset is closed) is also constitued in the bitopological space.