Discovering modern set theory. II, Set-theoretic tools for every mathematician / Winfried Just, Martin Weese.

Format:

Book

Author/Creator:

Just, W. (Winfried), author.

Weese, Martin, author.

Series:

Graduate studies in mathematics ; v. 8.

Graduate studies in mathematics ; volume 8

Language:

English

Subjects (All):

Set theory.

Physical Description:

1 online resource (224 p.)

Place of Publication:

Providence, Rhode Island : American Mathematical Society, [1997]

Language Note:

English

Summary:

This is the second volume of a two-volume graduate text in set theory. The first volume covered the basics of modern set theory and was addressed primarily to beginning graduate students. The second volume is intended as a bridge between introductory set theory courses such as the first volume and advanced monographs that cover selected branches of set theory. The authors give short but rigorous introductions to set-theoretic concepts and techniques such as trees, partition calculus, cardinal invariants of the continuum, Martin's Axiom, closed unbounded and stationary sets, the Diamond Principle, and the use of elementary submodels. Great care is taken to motivate concepts and theorems presented.

Contents:

""Cover""; ""Title""; ""Copyright""; ""Contents""; ""Preface""; ""Notation""; ""Chapter 13. Filters and Ideals in Partial Orders""; ""13.1. The general concept of a filter""; ""13.2. Ultraproducts""; ""13.3. A first look at Boolean algebras""; ""Mathographical Remarks""; ""Chapter 14. Trees""; ""Mathographical Remarks""; ""Chapter 15. A Little Ramsey Theory""; ""Mathographical Remarks""; ""Chapter 16. The Î?-System Lemma""; ""Chapter 17. Applications of the Continuum Hypothesis""; ""17.1. Applications to Lebesgue measure and Baire category""; ""17.2. Miscellaneous applications of CH""

""Mathographical Remarks""""Chapter 23. Measurable Cardinals""; ""Mathographical Remarks""; ""Chapter 24. Elementary Submodels""; ""24.1. Elementary facts about elementary submodels""; ""24.2. Applications of elementary submodels in set theory""; ""Mathographical Remarks""; ""Chapter 25. Boolean Algebras""; ""Mathographical Remark""; ""Chapter 26. Appendix: Some General Topology""; ""Index""; ""A""; ""B""; ""C""; ""D""; ""E""; ""F""; ""G""; ""H""; ""I""; ""K""; ""L""; ""M""; ""N""; ""O""; ""P""; ""Q""; ""R""; ""S""; ""T""; ""U""; ""W""; ""Z""; ""Index of Symbols""; ""Back Cover""

Notes:

Description based upon print version of record.

Includes bibliographical references and index.

Description based on online resource; title from PDF title page (ebrary, viewed April 11, 2015).

ISBN:

1-4704-2075-9