scientific article; zbMATH DE number 7052244

zbMath1454.03063MaRDI QIDQ5742887

Eleftherios Tachtsis

Publication date: 8 May 2019

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

zbMATH Keywords

axiom of choiceproduct spacecompact Hausdorff spaceopen filterBoolean prime ideal theoremminimal Hausdorff spaceopen ultrafilteradherence of an open filterextension of a Hausdorff spaceH-closed Hausdorff spaceKatětov's H-closed extension

Mathematics Subject Classification ID

Compactness (54D30) Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35) Product spaces in general topology (54B10) Lower separation axioms ((T_0)--(T_3), etc.) (54D10) Axiom of choice and related propositions (03E25)

Cites Work

• The strength of prime separation, sobriety, and compactness theorems
• The axiom of choice holds iff maximal closed filters exist
• Product of minimal topological spaces
• Minimal Topological Spaces
• On H-closed and bicompact spaces
• The Tychonoff product theorem implies the axiom of choice
• On the application of Tychonoff's theorem in mathematical proofs
• Axiom of choice
• The axiom of choice
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