The Stationary Tower:Notes on a Course by W. Hugh Woodin(University Lecture Series)

W·H·

数理逻辑与数学基础

原   价:
446.00
售   价:
357.00
优惠
平台大促 低至8折优惠
发货周期:外国库房发货,通常付款后3-5周到货
作      者
出版时间
2004年07月30日
装      帧
ISBN
9780821836040
复制
页      码
132
语      种
英文
综合评分
暂无评分
我 要 买
- +
库存 50 本
  • 图书详情
  • 目次
  • 买家须知
  • 书评(0)
  • 权威书评(0)
图书简介
The stationary tower is an important method in modern set theory, invented by Hugh Woodin in the 1980s. It is a means of constructing generic elementary embeddings and can be applied to produce a variety of useful forcing effects. Hugh Woodin is a leading figure in modern set theory, having made many deep and lasting contributions to the field, in particular to descriptive set theory and large cardinals. This book is the first detailed treatment of his method of the stationary tower that is generally accessible to graduate students in mathematical logic. By giving complete proofs of all the main theorems and discussing them in context, it is intended that the book will become the standard reference on the stationary tower and its applications to descriptive set theory. The first two chapters are taken from a graduate course Woodin taught at Berkeley. The concluding theorem in the course was that large cardinals imply that all sets of reals in the smallest model of set theory (without choice) containing the reals are Lebesgue measurable. Additional sections include a proof (using the stationary tower) of Woodin?s theorem that, with large cardinals, the Continuum Hypothesis settles all questions of the same complexity as well as some of Woodin?s applications of the stationary tower to the studies of absoluteness and determinacy. The book is suitable for a graduate course that assumes some familiarity with forcing, constructibility, and ultrapowers. It is also recommended for researchers interested in logic, set theory, and forcing.
本书暂无推荐
本书暂无推荐
看了又看
  • 上一个
  • 下一个