Skip to content
Research Article Open access CC BY 4.0

Properties and Characterizations of Countably C-approximating Posets

Xuxin Mao, Luoshan Xu

Journal of Advances in Mathematics and Computer Science · pp. 719–727 · Published 9 Dec 2014

10.9734/BJMCS/2015/14394

Abstract

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 complete lattice is completely distributive iff it is countably approximating and countably C-approximating.

σ-Scott topology; countably C-approximating poset semilattice principal ideal completely distributive lattice

Cited by 1

Countably QC-Approximating Posets

Xu-Xin Mao, Luo-Shan Xu · TheScientificWorldJournal · 2014

Related research

Article metrics

Real usage data collected on this platform.

6

Page views

0

PDF downloads

9

Outbound clicks

1

Citations

Views over time

Views by country

Approximate, from request IP at view time — not citizenship or institution. Countries with fewer than 5 views are grouped as "Other".

Traffic sources

Referring site, by host.

Views and downloads exclude known bots/crawlers. Citations combines this platform's own DOI-resolved index with each external source's own reported total — see Cited by above for individually listed citing works. Last refreshed 0 seconds ago.