Luoshan Xu

Properties and Characterizations of Countably C-approximating Posets

Xuxin Mao & Luoshan Xu · Journal of Advances in Mathematics and Computer Science · 2014

In this paper, the concept of countably C-approximating posets is introduced. Properties and characterizations of countably C-approximating posets are presented. Main results are: (1) the lattice of all σ-Scott-closed subsets for any poset is countably C-approximating; (2) a comp...

Open access Research Article 10.9734/BJMCS/2015/14394

A Note on Quasicontinuous Domains

Qingyu He & Luoshan Xu · Journal of Advances in Mathematics and Computer Science · 2014

In this note, the quasicontinuity of a dcpo and its principal ideals/filters are considered. It is shown that every principal ideal, as a subposet, in a quasicontinuous domain is also a quasicontinuous domain. A dcpo is quasicontinuous if every principal ideal is quasicontinuous...

Open access Research Article 10.9734/BJMCS/2014/12840