On the minimal cover property and certain notions of finite

Archive for Mathematical Logic 57 (5-6):665-686 (2018)
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Abstract

In set theory without the axiom of choice, we investigate the deductive strength of the principle “every topological space with the minimal cover property is compact”, and its relationship with certain notions of finite as well as with properties of linearly ordered sets and partially ordered sets.

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Citations of this work

MA(ℵ0) restricted to complete Boolean algebras and choice.Eleftherios Tachtsis - 2021 - Mathematical Logic Quarterly 67 (4):420-431.
Łoś's theorem and the axiom of choice.Eleftherios Tachtsis - 2019 - Mathematical Logic Quarterly 65 (3):280-292.

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References found in this work

The structure of amorphous sets.J. K. Truss - 1995 - Annals of Pure and Applied Logic 73 (2):191-233.
Ramsey's theorem in the hierarchy of choice principles.Andreas Blass - 1977 - Journal of Symbolic Logic 42 (3):387-390.
The strength of the $\Delta$-system lemma.Paul Howard & Jeffrey Solski - 1992 - Notre Dame Journal of Formal Logic 34 (1):100-106.

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