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Part I. Paradoxical Decompositions, or the Nonexistence of Finitely Additive Measures:
1. Introduction;
2. The Hausdorff Paradox;
3. The Banach-Tarski Paradox: duplication spheres and balls;
4. Locally commutative actions: minimizing the number of pieces in a paradoxical decomposition;
5. Higher dimensions and non-Euclidean spaces;
6. Free groups of large rank: getting a continuum of spheres from one;
7. Paradoxes in low dimensions;
8. The semi-group of equideomposability types;
Part II. Finitely Additive Measures, or the Nonexistence of Paradoxical Decompositions:
9. Transition;
10. Measures in groups;
11. Applications of amenability: Marczewski measures and exotic measures;
12. Growth conditions in groups and supramenability;
13. The role of the axiom of choice.
| Price | Condition | Delivery | Seller | Action |
| $99.99 | Digital |
| WonderClub |
Jorge Pena Duran
reviewed The Banach-Tarski Paradox on August 16, 2019 The Banach-Tarski Paradox
Whoa. A somewhat/not very easy to follow explanation of the first four dimensions, including an answer to how to fit a square peg into a round hole, reincarnation explained as higher-dimensional being expressing itself in 3rd dimensional space, and an imaginary sermon/parable on how 2-d beings can attain higher dimensions.
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Add The Banach-Tarski Paradox, This volume explores the consequences of the paradox for measure theory and its connections with group theory, geometry, and logic. It unifies the results of contemporary research on the paradox and presents several new results including some unusual para, The Banach-Tarski Paradox to the inventory that you are selling on WonderClubX
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Add The Banach-Tarski Paradox, This volume explores the consequences of the paradox for measure theory and its connections with group theory, geometry, and logic. It unifies the results of contemporary research on the paradox and presents several new results including some unusual para, The Banach-Tarski Paradox to your collection on WonderClub |
