|
| | | | |
| | | |
| Stat |
Members: 3645
Articles: 2'506'133
Articles rated: 2609
26 April 2024 |
|
| | | | |
|
Article overview
| |
|
|
On a new convergence class in k-bounded sober spaces | | Hadrian Andradi
; Weng Kin Ho
; | | Date: |
5 Jul 2016 | | Abstract: | Recently, J. D. Lawson encouraged the domain theory community to consider the
scientific program of developing domain theory in the wider context of $T_0$
spaces instead of restricting to posets. In this paper, we respond to this
calling by proving a topological parallel of a 2005 result due to B. Zhao and
D. Zhao, i.e., an order-theoretic characterisation of those posets for which
the lim-inf convergence is topological. We do this by adopting a recent
approach due to D. Zhao and W. K. Ho by replacing directed subsets with
irreducible sets. As a result, we formulate a new convergence class on $T_0$
spaces called Irr-convergence and established that this convergence class
$mathcal{I}$ on a $k$-bounded sober space $X$ is topological if and only if
$X$ is Irr-continuous. | | Source: | arXiv, 1607.1146 | | Services: | Forum | Review | PDF | Favorites | |
|
|
No review found.
Did you like this article?
Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.
browser Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)
|
| |
|
|
|
|
News, job offers and information for researchers and scientists:
| |
REGISTER