Descriptive Set Theory and Forcing: How to prove theorems about Borel sets the hard way

Descriptive Set Theory and Forcing
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Arnold W.

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  • Set Theory | Internet Encyclopedia of Philosophy;
  • Peter Ackroyd: the ludic and labyrinthine text.
  • Descriptive Set Theory and Forcing: How to Prove Theorems about Borel Sets the Hard Way.

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.

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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.

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The author makes good use of his sense of humor Most readers will enjoy the comments, footnotes, and jokes scattered throughout the book. JavaScript is currently disabled, this site works much better if you enable JavaScript in your browser. Lecture Notes in Logic.

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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.