This is modern set theory from the ground up--from partial orderings and well-ordered sets to models, infinite cobinatorics and large cardinals. The approach is unique, providing rigorous treatment of basic set-theoretic methods, while integrating advanced material such as independence results, thro
Introduction to set theory
✍ Scribed by Karel Hrbacek, Thomas Jech
- Book ID
- 127420969
- Publisher
- M. Dekker
- Year
- 1999
- Tongue
- English
- Weight
- 3 MB
- Series
- Monographs and textbooks in pure and applied mathematics 220
- Edition
- 3rd ed., rev. and expanded
- Category
- Library
- City
- New York
- ISBN
- 0585243417
No coin nor oath required. For personal study only.
✦ Synopsis
Revised edition intended as a primary text for mathematics courses. Basic material covered includes: relations, functions, and orderings; finite, countable, and uncountable sets; and cardinal and ordinal numbers. Advanced material discussed includes the Axiom of Choice, filters, ultrafilters, closed unbounded and stationary sets, partitions, large and measurable cardinals, well-founded and non- well-founded sets, partition calculus, and other topics.
✦ Subjects
Теория множеств
📜 SIMILAR VOLUMES
In 1963, the first author introduced a course in set theory at the University of Illinois whose main objectives were to cover Godel's work on the con sistency of the Axiom of Choice (AC) and the Generalized Continuum Hypothesis (GCH), and Cohen's work on the independence of the AC and the GCH. Note
Paperback. Many branches of abstract mathematics have been affected by the modern independence proofs in set theory. This book provides an introduction to relative consistency proofs in axiomatic set theory, and is intended to be used as a text in beginning graduate courses in that subject. It is ho