On variants of the principle of consistent choices, the minimal cover property and the 2-compactness of generalized Cantor cubes (Q511057)

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scientific article; zbMATH DE number 6684525
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English
On variants of the principle of consistent choices, the minimal cover property and the 2-compactness of generalized Cantor cubes
scientific article; zbMATH DE number 6684525

    Statements

    On variants of the principle of consistent choices, the minimal cover property and the 2-compactness of generalized Cantor cubes (English)
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    14 February 2017
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    weak axioms of choice
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    principle of consistent choices
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    principle of partial consistent choices
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    principle of countable consistent choices
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    Tychonoff products
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    generalized Cantor cubes
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    minimal cover property
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    2-compactness of Tychonoff products
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    Rado's lemma
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    Dedekind-finite sets
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    amorphous sets
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    chains/antichains in partially ordered sets
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    Fraenkel-Mostowski (FM) models
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    \(\mathsf{ZF}\) models
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    Pincus' transfer theorems
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