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

Miller, Arnold

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

Synopsis

This advanced graduate course assumes some knowledge of forcing as well as some elementary mathematical logic, e.g. the Lowenheim-Skolem Theorem. The first half deals with the general area of Borel hierarchies, probing lines of enquiry such as the possible lengths of a Borel hierarchy in a separable metric space. The second half goes on to include Harrington's Theorem together with a proof and applications of Louveau's Theorem on hyperprojective parameters.

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Book Description

These notes develop the theory of descriptive sets, leading up to a new proof of Louveau's separation theorem for analytic sets. A first course in mathematical logic and set theory is assumed, making this book suitable for advanced students and researchers.

About the Author

Arnold W. Miller works in the Department of Mathematics at the University of Wisconsin, Madison.

"About this title" may belong to another edition of this title.

Publisher
Springer
Publication date
1995
Language
English
ISBN 10 
3540600590
ISBN 13 
9783540600596
Binding
Paperback
Number of pages
137