Name
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. |
Year | Venue | Field |
|---|---|---|
2016 | arXiv: Logic in Computer Science | Convergence (routing),Discrete mathematics,Domain theory,Algorithm,If and only if,Sober space,Mathematics,Modes of convergence,Bounded function |
DocType | Volume | Citations |
Journal | abs/1607.01146 | 0 |
PageRank | References | Authors |
0.34 | 2 | 2 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Hadrian Andradi | 1 | 0 | 1.01 |
| Weng Kin Ho | 2 | 23 | 5.41 |