On the equivalence of Rudin's lemma and the Boolean prime ideal theorem

DOI10.1016/j.topol.2021.107970zbMath1490.03028OpenAlexW4200128497WikidataQ113862542 ScholiaQ113862542MaRDI QIDQ2074368

Mengqiao Huang, Xiaodong Jia, Qing-Guo Li

Publication date: 9 February 2022

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2021.107970

zbMATH Keywords

domain theoryprime ideal theoremRudin's lemma

Mathematics Subject Classification ID

Topological characterizations of particular spaces (54F65) Continuous lattices and posets, applications (06B35) Axiom of choice and related propositions (03E25)

Cites Work

• Quasicontinuous domains and the Smyth powerdomain
• The strength of prime separation, sobriety, and compactness theorems
• Some Combinatorial Theorems Equivalent to the Prime Ideal Theorem
• Continuous Lattices and Domains
• Non-Hausdorff Topology and Domain Theory
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