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pro vyhledávání: '"Ho, Weng Kin"'
Autor:
Andradi, Hadrian, Ho, Weng Kin
In this paper, we introduce the notion of $\mathcal{M}$-convergence and $\mathcal{MN}$-convergence structures in posets, which, in some sense, generalise the well-known Scott-convergence and order-convergence structures. As results, we give a necessa
Externí odkaz:
http://arxiv.org/abs/1803.06876
Publikováno v:
In Topology and its Applications 1 June 2022 314
Autor:
Andradi, Hadrian, Ho, Weng Kin
Publikováno v:
Logical Methods in Computer Science, Volume 15, Issue 1 (March 22, 2019) lmcs:1526
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 with an atte
Externí odkaz:
http://arxiv.org/abs/1710.03115
Autor:
Andradi, Hadrian, Ho, Weng Kin
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
Externí odkaz:
http://arxiv.org/abs/1709.03269
Autor:
Andradi, Hadrian, Ho, Weng Kin
A non-empty subset of a topological space is irreducible if whenever it is covered by the union of two closed sets, then already it is covered by one of them. Irreducible sets occur in proliferation: (1) every singleton set is irreducible, (2) direct
Externí odkaz:
http://arxiv.org/abs/1607.04162
Publikováno v:
Logical Methods in Computer Science, Volume 14, Issue 1 (January 17, 2018) lmcs:1529
Given a poset $P$, the set, $\Gamma(P)$, of all Scott closed sets ordered by inclusion forms a complete lattice. A subcategory $\mathbf{C}$ of $\mathbf{Pos}_d$ (the category of posets and Scott-continuous maps) is said to be $\Gamma$-faithful if for
Externí odkaz:
http://arxiv.org/abs/1607.03286
A remarkable result due to Kou, Liu & Luo states that the condition of continuity for a dcpo can be split into quasi-continuity and meet-continuity. Their argument contained a gap, however, which is probably why the authors of the monograph Continuou
Externí odkaz:
http://arxiv.org/abs/1607.01886
Autor:
Andradi, Hadrian, Ho, Weng Kin
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
Externí odkaz:
http://arxiv.org/abs/1607.01146
Publikováno v:
Logical Methods in Computer Science, Volume 14, Issue 2 (April 27, 2018) lmcs:1525
In this paper, we tailor-make new approximation operators inspired by rough set theory and specially suited for domain theory. Our approximation operators offer a fresh perspective to existing concepts and results in domain theory, but also reveal wa
Externí odkaz:
http://arxiv.org/abs/1607.01164
Publikováno v:
In Heliyon September 2021 7(9)