Descriptive Set Theory and Forcing: How to prove theorems about Borel sets the hard way (Lecture Notes in Logic) (Lecture Notes in Logic, 4, Band 4) - Softcover

Miller, Arnold

 
9783540600596: Descriptive Set Theory and Forcing: How to prove theorems about Borel sets the hard way (Lecture Notes in Logic) (Lecture Notes in Logic, 4, Band 4)
Softcover
ISBN 10: 3540600590 ISBN 13: 9783540600596
Verlag: Springer, 1995

Inhaltsangabe

An advanced graduate course. Some knowledge of forcing is assumed, and some elementary Mathematical Logic, e.g. the Lowenheim-Skolem Theorem. 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.

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Verlag
Springer
Erscheinungsdatum
1995
Sprache
Englisch
ISBN 10 
3540600590
ISBN 13 
9783540600596
Einband
Taschenbuch
Anzahl der Seiten
140
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