The Banach–Tarski Paradox
From MaRDI portal
Publication:2814161
DOI10.1017/CBO9781107337145zbMath1372.43001OpenAlexW4239333356MaRDI QIDQ2814161
Grzegorz Tomkowicz, Stan Wagon
Publication date: 20 June 2016
Full work available at URL: https://doi.org/10.1017/cbo9781107337145
measuresdecompositionsaxiom of choiceamenable groupsBanach-Tarski paradoxfinitely additive measuresHausdorff paradox
Descriptive set theory (03E15) Length, area, volume, other geometric measure theory (28A75) Means on groups, semigroups, etc.; amenable groups (43A07) Axiom of choice and related propositions (03E25) Research exposition (monographs, survey articles) pertaining to abstract harmonic analysis (43-02)
Related Items (39)
Uniform Kazhdan constants and paradoxes of the affine plane ⋮ Free actions of groups on separated graph 𝐶*-algebras ⋮ On amenable semigroups of rational functions ⋮ A properly discontinuous free group of affine transformations ⋮ Measurable Hall's theorem for actions of abelian groups ⋮ Shadows of the axiom of choice in the universe \(L(\mathbb {R})\) ⋮ Amenability and paradoxicality in semigroups and \(C^\ast\)-algebras ⋮ Paradoxical sets and sets with two removable points ⋮ Amenability and uniform Roe algebras ⋮ Harmonic analysis of little \(q\)-Legendre polynomials ⋮ Characterisations for uniform amenability ⋮ Set theory and the analyst ⋮ Some remarks on the Steinhaus property for invariant extensions of the Lebesgue measure ⋮ Banach-Tarski paradox in some complete manifolds ⋮ On Small Subsets in Euclidean Spaces ⋮ Concentration of invariant means and dynamics of chain stabilizers in continuous geometries ⋮ On the equivalence of sets of equal Haar measures by countable decomposition ⋮ Unnamed Item ⋮ Non-classical probabilities invariant under symmetries ⋮ Strong proximality for discontinuous skew-product actions of amenable semigroups ⋮ Generating numbers of rings graded by amenable and supramenable groups ⋮ Palindromic subshifts and simple periodic groups of intermediate growth ⋮ Invariant measures for discontinuous skew-product actions of amenable semigroups and some ergodic results ⋮ Unnamed Item ⋮ A proof of a sumset conjecture of Erdős ⋮ On groups with weak Sierpi ⋮ Variants on the Berz sublinearity theorem ⋮ Unnamed Item ⋮ The Hahn–Banach theorem and a six-piece paradoxical decomposition of a ball ⋮ A Paradox Arising from the Elimination of a Paradox ⋮ On some 2-edge-connected homogenous graphs and Cayley graphs with two removable vertices ⋮ Turán's inequality, nonnegative linearization and amenability properties for associated symmetric Pollaczek polynomials ⋮ Banach limits: some new thoughts and perspectives ⋮ Variations on twins in permutations ⋮ Conglomerated filters and statistical measures ⋮ Comparison and pure infiniteness of crossed products ⋮ On decidability of amenability in computable groups ⋮ On Gardner's conjecture ⋮ Measurable equidecompositions for group actions with an expansion property
This page was built for publication: The Banach–Tarski Paradox
