Descriptive Set Theory and Forcing - How to prove theorems about Borel sets the hard way (Paperback, 1995 ed.)

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.

General

Imprint:	Springer-Verlag
Country of origin:	Germany
Series:	Lecture Notes in Logic, 4
Release date:	September 1995
First published:	1995
Authors:	Arnold Miller
Dimensions:	235 x 155 x 8mm (L x W x T)
Format:	Paperback
Pages:	133
Edition:	1995 ed.
ISBN-13:	978-3-540-60059-6
Categories:	Books > Science & Mathematics > Mathematics > Mathematical foundations > Set theory Promotions
LSN:	3-540-60059-0
Barcode:	9783540600596

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