The Banach-Tarski paradox

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The Banach-Tarski paradox / Stan Wagon

資料種別:: 図書
出版情報:: Cambridge [Cambridgeshire] : Cambridge University Press, c1985
形態:: xvi, 253 p. ; 25 cm
シリーズ名:: Encyclopedia of mathematics and its applications / edited by G.-C. Rota ; v. 24 <BA00064663>
著者名:: Wagon, S. <DA00213996>
ISBN:: 9780521302449 [0521302447]
書誌ID:: BA00126465

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他の版・巻

The Banach-Tarski paradox. 2nd ed (: hardback)
Grzegorz Tomkowicz, Stan Wagon , Cambridge University Press , 2016

書誌詳細

注記:

Bibliography: p. 234-245
Includes index
Reprinted 1986(with corrections),1987
Addendum to second printing : p. 234-235

主題:

Banach-Tarski paradox; Decomposition (Mathematics); Measure theory

言語:

英語

目次情報:

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：

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：

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