Books in Set theory

Hausdorff Gaps and Limits

1st Edition
Volume 132
February 23, 1994
R. Frankiewicz + 1 more
English
eBook
9 7 8 0 0 8 0 8 8 7 0 8 1

Gaps and limits are two phenomena occuring in the Boolean algebra P(&ohgr;)/fin. Both were discovered by F. Hausdorff in the mid 1930's. This book aims to show how they can be used in solving several kinds of mathematical problems and to convince the reader that they are of interest in themselves. The forcing technique, which is not commonly known, is used widely in the text. A short explanation of the forcing method is given in Chapter 11. Exercises, both easy and more difficult, are given throughout the book.

Almost Free Modules

1st Edition
Volume 46
April 23, 1990
P.C. Eklof + 1 more
English
eBook
9 7 8 0 0 8 0 9 6 0 2 4 1

This is an extended treatment of the set-theoretic techniques which have transformed the study of abelian group and module theory over the last 15 years. Part of the book is new work which does not appear elsewhere in any form. In addition, a large body of material which has appeared previously (in scattered and sometimes inaccessible journal articles) has been extensively reworked and in many cases given new and improved proofs. The set theory required is carefully developed with algebraists in mind, and the independence results are derived from explicitly stated axioms. The book contains exercises and a guide to the literature and is suitable for use in graduate courses or seminars, as well as being of interest to researchers in algebra and logic.

Descriptive Set Theory

1st Edition
Volume 100
January 1, 1987
Y.N. Moschovakis
English
eBook
9 7 8 0 0 8 0 9 6 3 1 9 8

Now available in paperback, this monograph is a self-contained exposition of the main results and methods of descriptive set theory. It develops all the necessary background material from logic and recursion theory, and treats both classical descriptive set theory and the effective theory developed by logicians.

Set Theory An Introduction To Independence Proofs

1st Edition
Volume 102
December 1, 1983
K. Kunen
English
Hardback
9 7 8 0 4 4 4 8 6 8 3 9 8
eBook
9 7 8 0 0 8 0 5 7 0 5 8 7

Studies in Logic and the Foundations of Mathematics, Volume 102: Set Theory: An Introduction to Independence Proofs offers an introduction to relative consistency proofs in axiomatic set theory, including combinatorics, sets, trees, and forcing. The book first tackles the foundations of set theory and infinitary combinatorics. Discussions focus on the Suslin problem, Martin's axiom, almost disjoint and quasi-disjoint sets, trees, extensionality and comprehension, relations, functions, and well-ordering, ordinals, cardinals, and real numbers. The manuscript then ponders on well-founded sets and easy consistency proofs, including relativization, absoluteness, reflection theorems, properties of well-founded sets, and induction and recursion on well-founded relations. The publication examines constructible sets, forcing, and iterated forcing. Topics include Easton forcing, general iterated forcing, Cohen model, forcing with partial functions of larger cardinality, forcing with finite partial functions, and general extensions. The manuscript is a dependable source of information for mathematicians and researchers interested in set theory.

Elements of Set Theory

1st Edition
April 28, 1977
Herbert B. Enderton
English
Hardback
9 7 8 0 1 2 2 3 8 4 4 0 0
eBook
9 7 8 0 0 8 0 5 7 0 4 2 6

This is an introductory undergraduate textbook in set theory. In mathematics these days, essentially everything is a set. Some knowledge of set theory is necessary part of the background everyone needs for further study of mathematics. It is also possible to study set theory for its own interest--it is a subject with intruiging results anout simple objects. This book starts with material that nobody can do without. There is no end to what can be learned of set theory, but here is a beginning.

Elements of Set Theory

1st Edition
April 28, 1977
Herbert B. Enderton
English
Hardback
9 7 8 0 1 2 2 3 8 4 4 0 0
eBook
9 7 8 0 0 8 0 5 7 0 4 2 6

Life Sciences

Physical Sciences & Engineering

Social Sciences & Humanities

Health

Books in Set theory

Hausdorff Gaps and Limits

Almost Free Modules

Descriptive Set Theory

Set Theory An Introduction To Independence Proofs

Elements of Set Theory

Elements of Set Theory