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Sets for Mathematics
Cambridge University Press 2003; US$ 54.00For the first time in a textbook, categorical algebra is used to build a foundation for the study of geometry, analysis, and algebra. Starting with intuitive descriptions of mathematically and physically common phenomena, it leads up to a precise specification of the Category of Sets. Suitable for advanced undergraduates and beginning graduate students. more...
The Covering Property Axiom, CPA
Cambridge University Press 2004; US$ 96.00This book explores a new axiom of set theory, CPA, the Covering Property Axiom. Replacing iterated forcing arguments with deductions from CPA simplifies proofs, provides deeper insight, and leads to new results. Researchers who use set theory in their work will find much of interest in this book. more...
Set Theory
Springer 2006; US$ 139.00Contains survey papers on some of the mainstream areas of set theory and research. This book covers topics such as Omega-logic, applications of set theory to lattice theory and Boolean algebras, real-valued measurable cardinals, complexity of sets and relations in continuum theory, weak subsystems of axiomatic set theory, and more. more...
Forcing Idealized
Cambridge University Press 2008; US$ 90.00Monograph exploring the connections that forcing makes with descriptive set theory and other areas of mathematics. more...
Equivalents of the Axiom of Choice
Elsevier Science 1985; US$ 128.00This monograph contains a selection of over 250 propositions which are equivalent to AC. The first part on set forms has sections on the well-ordering theorem, variants of AC, the law of the trichotomy, maximal principles, statements related to the axiom of foundation, forms from algebra, cardinal number theory, and a final section of forms from topology,... more...
Combinatorial Set Theory
Elsevier Science 2011; US$ 140.75This work presents the most important combinatorial ideas in partition calculus and discusses ordinary partition relations for cardinals without the assumption of the generalized continuum hypothesis. A separate section of the book describes the main partition symbols scattered in the literature. A chapter on the applications of the combinatorial methods... more...
Descriptive Set Theory
Elsevier Science 1987; US$ 116.50Now 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. more...
The Logical Status of Diagrams
Cambridge University Press 1995; US$ 39.00This groundbreaking work will have important influence on research in logic, philosophy and knowledge representation. more...
Elementary Set Theory, Part I
Hong Kong University Press 1979; US$ 8.00This book provides students of mathematics with the minimum amount of knowledge in logic and set theory needed for a profitable continuation of their studies. There is a chapter on statement calculus, followed by eight chapters on set theory. more...
Elementary Set Theory, Part I/II
Hong Kong University Press 1967; US$ 10.00This book provides students of mathematics with the minimum amount of knowledge in logic and set theory needed for a profitable continuation of their studies. There is a chapter on statement calculus, followed by eight chapters on set theory. more...
