Abstract
An A-spectral space is a space such that its one-point compactification is a spectral space. An up-spectral space is defined to be a topological space X satisfying the axioms of a spectral space with the exception that X is not necessarily compact. This paper deals with the interactions between up-spectral spaces and A-spectral spaces. An example of up-spectral space which is not A-spectral is constructed.
| Original language | English |
|---|---|
| Pages (from-to) | 271-277 |
| Number of pages | 7 |
| Journal | New York Journal of Mathematics |
| Volume | 10 |
| State | Published - 8 Sep 2004 |
| Externally published | Yes |
Keywords
- Alexandroff space
- One-point compactification
- Sober space
- Spectral space
ASJC Scopus subject areas
- General Mathematics