Descriptive Set Theory and Forcing

How to Prove Theorems about Borel Sets the Hard Way

By: Arnold W. Miller

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Hardcover | 18 May 2017

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Hardcover
136 Pages

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22.86 x 15.24 x 1.12

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Since their inception, the Perspectives in Logic and Lecture Notes in Logic series have published seminal works by leading logicians. Many of the original books in the series have been unavailable for years, but they are now in print once again. In this volume, the fourth publication in the Lecture Notes in Logic series, Miller develops the necessary features of the theory of descriptive sets in order to present a new proof of Louveau's separation theorem for analytic sets. While some background in mathematical logic and set theory is assumed, the material is based on a graduate course given by the author at the University of Wisconsin, Madison, and is thus accessible to students and researchers alike in these areas, as well as in mathematical analysis.

Industry Reviews

'Miller includes interesting historical material and references. His taste for slick, elegant proofs makes the book pleasant to read. The author makes good use of his sense of humor ... Most readers will enjoy the comments, footnotes, and jokes scattered throughout the book.' Studia Logica

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