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1.

図書

図書
Grzegorz Tomkowicz, Stan Wagon
出版情報: Cambridge : Cambridge University Press, 2016  xviii, 348 p. ; 25 cm
シリーズ名: Encyclopedia of mathematics and its applications / edited by G.-C. Rota ; 163
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2.

図書

図書
Stan Wagon
出版情報: Cambridge [Cambridgeshire] : Cambridge University Press, c1985  xvi, 253 p. ; 25 cm
シリーズ名: Encyclopedia of mathematics and its applications / edited by G.-C. Rota ; v. 24
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目次情報: 続きを見る
Paradoxical Decompositions, or the Nonexistence of Finitely Additive Measures / Part I:
Introduction / 1:
The Hausdorff Paradox / 2:
The Banach-Tarski Paradox: duplication spheres and balls / 3:
Locally commutative actions: minimizing the number of pieces in a paradoxical decomposition / 4:
Higher dimensions and non-Euclidean spaces / 5:
Free groups of large rank: getting a continuum of spheres from one / 6:
Paradoxes in low dimensions / 7:
The semi-group of equideomposability types / 8:
Finitely Additive Measures, or the Nonexistence of Paradoxical Decompositions / Part II:
Transition / 9:
Measures in groups / 10:
Applications of amenability: Marczewski measures and exotic measures / 11:
Growth conditions in groups and supramenability / 12:
The role of the axiom of choice / 13:
Paradoxical Decompositions, or the Nonexistence of Finitely Additive Measures / Part I:
Introduction / 1:
The Hausdorff Paradox / 2:
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