학술논문

Comparison of topologies on the family of all topologies on X
Document Type
Article
Author
Source
충청수학회지, 31(4), pp.387-396 Nov, 2018
Subject
수학
Language
English
ISSN
2383-6245
1226-3524
Abstract
Topology may described a pattern of existence of elements of a given set $X$. The family $\tau(X)$ of all topologies given on a set $X$ form a complete lattice. We will give some topologies on this lattice $\tau(X)$ using a fixed topology on $X$ and we will regard $\tau(X)$ a topological space. Our purpose of this study is to comparison new topologies on the family $\tau(X)$ of all topologies induced old one.