scientific article; zbMATH DE number 7200929

zbMath1481.03050MaRDI QIDQ5109960

Eleftherios Tachtsis, Paul E. Howard

Publication date: 14 May 2020

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

fixed pointcontinuumaxiom of choicecompact spaceweak axioms of choiceLoeb spaceHausdorff spaceconnected spaceJech-Sochor first embedding theoremweakly Loeb space\(J\)-contractionFraenkel-Mostowski model of ZFA\(J\)-contractive open cover

Mathematics Subject Classification ID

Compactness (54D30) Fixed-point and coincidence theorems (topological aspects) (54H25) Consistency and independence results (03E35) Connected and locally connected spaces (general aspects) (54D05) Axiom of choice and related propositions (03E25)

Cites Work

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• Continuing horrors of topology without choice
• Compact Metric Spaces and Weak Forms of the Axiom of Choice
• Amorphe Potenzen kompakter Räume
• Geordnete Läuchli Kontinuen
• Products of Compact Spaces in the Least Permutation Model
• Classes of Dedekind finite cardinals
• A Topological Banach Fixed Point Theorem for Compact Hausdorff Spaces
• The Baire Category Property and Some Notions of Compactness
• The Urysohn Lemma is independent of ZF + Countable Choice
• A Converse of Banach's Contraction Theorem
• A Short Proof of a Theorem of L. Janos
• The axiom of choice

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