Descriptive set theory and definable forcing
著者
書誌事項
Descriptive set theory and definable forcing
（Memoirs of the American Mathematical Society, no. 793）
American Mathematical Society, 2004
大学図書館所蔵 全16件
注記
"Volume 167, number 793 (third of 5 numbers)."
Includes bibliographical references (p. 137-140) and index
内容説明・目次
内容説明
The subject of the book is the relationship between definable forcing and descriptive set theory. The forcing serves as a tool for proving independence of inequalities between cardinal invariants of the continuum. The analysis of the forcing from the descriptive point of view makes it possible to prove absoluteness theorems of the type 'certain forcings are the provably best attempts to achieve consistency results of certain syntactical form' and others. There are connections to such fields as pcf theory, effective descriptive set theory, determinacy and large cardinals, Borel equivalence relations, abstract analysis, and others.
目次
Introduction Definable forcing adding a single real The countable support iterations Other forcings Applications Examples of cardinal invariants The syntax of cardinal invariants Effective descriptive set theory Large cardinals.
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