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The Axiom of Choice
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| List Price: | £13.99 |
| Price: | £7.22 & eligible for FREE Super Saver Delivery on orders over £5. Details |
Availability: Usually dispatched within 11 to 13 days
Dispatched from and sold by Amazon.co.uk
13 new or used available from £4.47
Average customer review:
Product Details
- Amazon Sales Rank: #99666 in Books
- Published on: 2009-01-01
- Original language: English
- Number of items: 1
- Binding: Paperback
- 224 pages
Customer Reviews
Brilliant book
This is a brilliant book and it is great to see it back in print. As the content is not available on Amazon, it is something like this:
1. Introduction (Axiom of choice, non-measurable set of real numbers, paradoxical decomposition of the sphere)
2. Uses of the Axiom of Choice (Equivalents, applications, countable version)
3. Consistency of the Axiom of Choice (Constructible universe, etc.)
4. Permutation Models (Fraenkel models, etc.)
5. Independence of the Axiom of Choice (Cohen's models, etc.)
6. Embedding Theorems
7. Models with finite support (Showing prime ideal theorem weaker than choice, etc.)
8. Some weaker versions of the Axiom of Choice (Dependent choice)
9. Nontransferable statements (talking about ZF+atoms)
10. Mathematics without choice (e.g. a model where the reals are a countable union of countable sets)
11. Cardinal numbers in set theory without choice
12. Some properties contradicting the axiom of choice (e.g. determinateness, all sets measurable, etc.)
Hope that helps.
