The density topology is a Hausdorff topology; it is finer than the Lawson topology. In a continuous domain X, a subset is a basis if and only if it is a dense ...
We introduce and study two topologies in order to provide a topological interpretation of bases in domain theory. The key finding is that, in a continuous ...
Dănuţ Rusu & Gabriel Ciobanu, Essential and density topologies of ...
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A constructive theory of continuous domains suitable for implementation.Andrej Bauer & Iztok Kavkler - 2009 - Annals of Pure and Applied Logic 159 (3):251-267.
Oct 30, 2017 · Recently, Rusu and Ciobanu established that for a continuous domain L, a subset B of L is a basis if and only if B is dense with respect to ...
In this paper, we show how the 'Rusu–Ciobanu' type of characterization can be formulated and established over the class of s2 -continuous posets with ...
Jul 28, 2022 · In this paper, as a generalization of the essential topology of dcpos, the concept of Z-essential topology on Z-complete posets is ...
Essential and density topologies of continuous domains. Dănuţ Rusu, Gabriel Ciobanu. Pages 726-736: View PDF. Article preview. select article Limit spaces with ...
This paper contains the properties of continuous functions equipped with the I(J) I ( J ) -density topology or natural topology in the domain or the range.
Missing: Essential | Show results with:Essential
This paper is concerned with I-density continuous functions, i.e., the real functions that are continuous when the. I-density topology is used on the domain and ...
Missing: Essential | Show results with:Essential
The purpose of this note is to treat the density topology from a modern topological viewpoint. 1. Introduction. A sprinkling of papers has been published by ...