Detailed Information
Cited 0 time in 
Cited 1 time in 
Cited 1 time in
Metadata Downloads
FINITE TOPOLOGICAL SPACES AND GRAPHS
- Authors
- Chae, Hi-Joon
- Issue Date
- 2017
- Publisher
- KOREAN MATHEMATICAL SOC
- Keywords
- finite topological space; directed graph; duality
- Citation
- COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, v.32, no.1, pp.183 - 191
- Journal Title
- COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY
- Volume
- 32
- Number
- 1
- Start Page
- 183
- End Page
- 191
- ISSN
- 1225-1763
- Abstract
- We define a stratification and a partition of a finite topological space and define a partial order on the partition. Open subsets can be described completely in terms of this partially ordered partition. We associate a directed graph to the partially ordered partition of a finite topological space. This gives a one-to-one correspondence between finite topological spaces and a certain class of directed graphs.
- Files in This Item
- There are no files associated with this item.
- Appears in
Collections - College of Education > Department of Mathematics Education > 1. Journal Articles
Items in ScholarWorks are protected by copyright, with all rights reserved, unless otherwise indicated.
Related Researcher
- Chae, Hi joon
- Education (Mathematics Education)