✦ LIBER ✦

Order topology and bi-Scott topology on a poset

✍ Scribed by Bin Zhao; Kai Yun Wang

Publisher: Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year: 2011
Tongue: English
Weight: 178 KB
Volume: 27
Category: Article
ISSN: 1439-7617
DOI: 10.1007/s10114-011-0273-7

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

A Poset with Spectral Scott Topology is

A Poset with Spectral Scott Topology is a Quasialgebraic Domain

✍ Tomoo Yokoyama 📂 Article 📅 2009 🏛 Springer Netherlands 🌐 English ⚖ 239 KB

Quasicontinuity of Posets via Scott Topo

Quasicontinuity of Posets via Scott Topology and Sobrification

✍ Xuxin Mao; Luoshan Xu 📂 Article 📅 2007 🏛 Springer Netherlands 🌐 English ⚖ 303 KB

Continuity of posets via Scott topology

Continuity of posets via Scott topology and sobrification

✍ Luoshan Xu 📂 Article 📅 2006 🏛 Elsevier Science 🌐 English ⚖ 108 KB

Posets admitting a unique order-compatib

Posets admitting a unique order-compatible topology

✍ David E. Dobbs 📂 Article 📅 1982 🏛 Elsevier Science 🌐 English ⚖ 782 KB

Notes on the products of the lower topol

Notes on the products of the lower topology and Lawson topology on posets

✍ Da-Jiang Chen; Hui Kou 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 139 KB

Strictly complete regularity of the Laws

Strictly complete regularity of the Lawson topology on a continuous poset

✍ Xiao-Quan Xu 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 63 KB

For a continuous poset P , let ω(P ) and λ(P ) be the lower topology and the Lawson topology on P , respectively. In this paper, we constructively prove in the set theory ZFDC ω (the theory obtained by adjoining the axiom of ω dependent choices to the Zermelo-Fraenkel set theory) that if all lower c