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Book Description Springer, Condition: New. More information about this seller Contact this seller.
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Seller Inventory x KG, Germany, Language: English. Brand new Book. Seller Inventory AAV Ships with Tracking Number! Buy with confidence, excellent customer service!. A student with one semester of mathematical logic and 1 of set theory should be prepared to read these notes.
The first half deals with the general area of Borel hierarchies. What are the possible lengths of a Borel hierarchy in a separable metric space? Lebesgue showed that in an uncountable complete separable metric space the Borel hierarchy has uncountably many distinct levels, but for incomplete spaces the answer is independent. The second half includes Harrington's Theorem - it is consistent to have sets on the second level of the projective hierarchy of arbitrary size less than the continuum and a proof and appl- ications of Louveau's Theorem on hyperprojective parameters.
His taste for slick, elegant proofs makes the book pleasant to read.
A student with one semester of mathematical logic and 1 of set theory should be prepared to read these How to prove theorems about Borel sets the hard way. set theory and forcing; How to prove theorems about Borel sets the hard way Part 2 contains standard results on the theory of Analytic sets.