Description

Book Synopsis
Intends to bridge between introductory set theory courses and advanced monographs that cover selected branches of set theory, such as forcing or large cardinals, this title gives short but rigorous introductions to set-theoretic concepts and techniques such as trees, partition calculus, cardinal invariants of the continuum, and Martin's Axiom.

Table of Contents
Filters and ideals in partial orders Trees A little Ramsey theory The $\Delta$-system lemma Applications of the continuum hypothesis From the Rasiowa-Sikorski lemma to Martin's Axiom Martin's Axiom Hausdorff gaps Closed unbounded sets and stationary sets The $\diamond$-principle Measurable cardinals Elementary submodels Boolean algebras Appendix: Some general topology Index Index of symbols.

Discovering Modern Set Theory Part 2

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    A Hardback by W. Just, Martin Weese

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      View other formats and editions of Discovering Modern Set Theory Part 2 by W. Just

      Publisher: MP-AMM American Mathematical
      Publication Date: 10/30/1997 12:00:00 AM
      ISBN13: 9780821805282, 978-0821805282
      ISBN10: 0821805282

      Description

      Book Synopsis
      Intends to bridge between introductory set theory courses and advanced monographs that cover selected branches of set theory, such as forcing or large cardinals, this title gives short but rigorous introductions to set-theoretic concepts and techniques such as trees, partition calculus, cardinal invariants of the continuum, and Martin's Axiom.

      Table of Contents
      Filters and ideals in partial orders Trees A little Ramsey theory The $\Delta$-system lemma Applications of the continuum hypothesis From the Rasiowa-Sikorski lemma to Martin's Axiom Martin's Axiom Hausdorff gaps Closed unbounded sets and stationary sets The $\diamond$-principle Measurable cardinals Elementary submodels Boolean algebras Appendix: Some general topology Index Index of symbols.

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