**List Of Statements Undecidable In ZFC**

The mathematical statements discussed below are provably undecidable in ZFC (the Zermelo–Fraenkel axioms plus the axiom of choice, the canonical axiomatic set theory of contemporary mathematics), assuming that ZFC is consistent.

Read more about List Of Statements Undecidable In ZFC: Axiomatic Set Theory, Set Theory of The Real Line, Order Theory, Group Theory, Measure Theory, Functional Analysis

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**List Of Statements Undecidable In ZFC**- Functional Analysis

... compact Hausdorff space) into any other Banach algebra, was independent of

**ZFC**... Akemann and Nik Weaver showed in 2003 that the

**statement**"there exists a counterexample to Naimark's problem which is generated by ℵ1, elements" is independent of

**ZFC**... Miroslav Bačák and Petr Hájek proved in 2008 that the

**statement**"every Asplund space of density character ω1 has a renorming with the Mazur intersection property ...

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