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HOMOGENEOUS FUNCTIONALLY ALEXANDROFF SPACES.
- Source :
- Bulletin of the Australian Mathematical Society; Apr2018, Vol. 97 Issue 2, p331-339, 9p
- Publication Year :
- 2018
-
Abstract
- A function $f:X\rightarrow X$ determines a topology $P(f)$ on $X$ by taking the closed sets to be those sets $A\subseteq X$ with $f(A)\subseteq A$. The topological space $(X,P(f))$ is called a functionally Alexandroff space. We completely characterise the homogeneous functionally Alexandroff spaces. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00049727
- Volume :
- 97
- Issue :
- 2
- Database :
- Complementary Index
- Journal :
- Bulletin of the Australian Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 128399650
- Full Text :
- https://doi.org/10.1017/S0004972717000934