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Forcing Idealized

Descriptive set theory and definable proper forcing are two areas of set theory that developed quite independently of each other. This;

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Trends in Set Theory

theory, forcing, and inner model theory, in addition to several applications of set theory, including ergodic theory, combinatorics, and model;

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Set Theory

manner that is accessible to students. Its main theme is the interplay of large cardinals, inner models, forcing and descriptive set theory;

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Canonical Ramsey Theory On Polish Spaces

active topics: forcing and analytic equivalence relations. This in turn allows the authors to develop a generalization of classical Ramsey theory;

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London Mathematical Society Lecture Note Series

This book comprises five expository articles and two research papers on topics of current interest in set theory and the foundations;

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Set Theory An Introduction To Independence Proofs

to relative consistency proofs in axiomatic set theory, including combinatorics, sets, trees, and forcing. The book first tackles the;

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Descriptive Set Theory and Forcing

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;

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Set Theory for the Working Mathematician

of 'modern' set theory: Martin's Axiom, the Diamond Principle, and elements of forcing. Written primarily as a text for beginning graduate or;

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Set Theory for the Working Mathematician

of 'modern' set theory: Martin's Axiom, the Diamond Principle, and elements of forcing. Written primarily as a text for beginning graduate or;

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Appalachian Set Theory

period 2006-2012. Topics covered include forcing and large cardinals, descriptive set theory, and applications of set theoretic ideas in group;

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Foundations of Mathematics

set theory and the continuum problem, as well as connections between set theory and Banach spaces, recursion theory, and philosophy, each;

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Cambridge Tracts in Mathematics

In this 1987 text Professor Jech gives a unified treatment of the various forcing methods used in set theory, and presents their important;

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Cambridge Tracts in Mathematics

In this 1987 text Professor Jech gives a unified treatment of the various forcing methods used in set theory, and presents their important;

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E-recursion, Forcing And C*-algebras

for Infinity Logic Summer School. The major topics cover set-theoretic forcing, higher recursion theory, and applications of set theory to C;

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E-recursion, Forcing And C*-algebras

for Infinity Logic Summer School. The major topics cover set-theoretic forcing, higher recursion theory, and applications of set theory to C;

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Classical Descriptive Set Theory

Descriptive set theory has been one of the main areas of research in set theory for almost a century. This text presents a largely balanced;

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Forcing, Iterated Ultrapowers, And Turing Degrees

Initiative for Infinity Logic Summer Schools. The major topics covered set theory and recursion theory, with particular emphasis on forcing, inner;

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Set Theory

"This book is designed for readers who know elementary mathematical logic and axiomatic set theory, and who want to learn more about set;

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Descriptive Set Theoretic Methods in Automata Theory

in logic, descriptive set theory, topology, and automata theory and provides many deep insights into the interplay between these fields. It opens;

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Descriptive Set Theory and the Structure of Sets of Uniqueness

the subject has with descriptive set theory. These have only been discovered recently and the authors present here this novel theory which;

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Invariant Descriptive Set Theory

of equivalence relations and classification problems, Invariant Descriptive Set Theory presents an introduction to the basic concepts, methods, and;

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Invariant Descriptive Set Theory

of equivalence relations and classification problems, Invariant Descriptive Set Theory presents an introduction to the basic concepts, methods, and;

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Fast Track to Forcing

This quick yet detailed introduction to set theory and forcing builds the reader's intuition about it as much as the mathematical detail;

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Fast Track to Forcing

This quick yet detailed introduction to set theory and forcing builds the reader's intuition about it as much as the mathematical detail;

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Set Theory and the Continuum Problem

examines forcing and independence results.Part One's focus on axiomatic set theory features nine chapters that examine problems related to;

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London Mathematical Society Lecture Note Series

-Fraenkel set theory together with the Generalized Continuum Hypothesis by using a class 'forcing' construction. By this method they extend M to;

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Notes On Forcing Axioms

students and researchers in logic, set theory and related fields.Key Features:

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