发布求助
文献互助 智能选刊 最新文献

Lecture Notes Series / Institute for Mathematical Sciences / National University of Singapore最新文献

筛选
英文 中文
Slicing the Truth - On the Computable and Reverse Mathematics of Combinatorial Principles 切分真理——论组合原理的可计算数学和逆数学
Lecture Notes Series / Institute for Mathematical Sciences / National University of Singapore Pub Date : 2014-07-18 DOI: 10.1142/9208
D. Hirschfeldt
{"title":"Slicing the Truth - On the Computable and Reverse Mathematics of Combinatorial Principles","authors":"D. Hirschfeldt","doi":"10.1142/9208","DOIUrl":"https://doi.org/10.1142/9208","url":null,"abstract":"This book is a brief and focused introduction to the reverse mathematics and computability theory of combinatorial principles, an area of research which has seen a particular surge of activity in the last few years. It provides an overview of some fundamental ideas and techniques, and enough context to make it possible for students with at least a basic knowledge of computability theory and proof theory to appreciate the exciting advances currently happening in the area, and perhaps make contributions of their own. It adopts a case-study approach, using the study of versions of Ramsey's Theorem (for colorings of tuples of natural numbers) and related principles as illustrations of various aspects of computability theoretic and reverse mathematical analysis. This book contains many exercises and open questions.","PeriodicalId":405067,"journal":{"name":"Lecture Notes Series / Institute for Mathematical Sciences / National University of Singapore","volume":"90 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-07-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133964679","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 82
Notes on Forcing Axioms 关于强制公理的说明
Lecture Notes Series / Institute for Mathematical Sciences / National University of Singapore Pub Date : 2013-12-26 DOI: 10.1142/9013
S. Todorcevic
{"title":"Notes on Forcing Axioms","authors":"S. Todorcevic","doi":"10.1142/9013","DOIUrl":"https://doi.org/10.1142/9013","url":null,"abstract":"The Baire Category Theorem and the Baire Category Numbers Coding into the Reals Descriptive Set-Theoretic Consequences Measure-Theoretic Consequences Variations on the Souslin Hypothesis The S- and L-Space Problems The Side-Condition Method Ideal Dichotomies Coherent and Lipschitz Trees Applications to the S-Space Problem and the Von Neumann Problem Biorthogonal Systems Structure of Compact Spaces Ramsey Theory on Ordinals Five Cofinal Types Five Linear Orderings mm and Cardinal Arithmetic Reflection Principles Appendices: Basic Notions Preserving Stationary Sets Historical and Other Comments.","PeriodicalId":405067,"journal":{"name":"Lecture Notes Series / Institute for Mathematical Sciences / National University of Singapore","volume":"52 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2013-12-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123656310","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 11
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整，为了账户安全，请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
请完成安全验证×
相关产品
×
本文献相关产品
联系我们：info@booksci.cn Book学术提供免费学术资源搜索服务，方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号：481959085
Book学术官方微信