Ramsey Theory for Product Spaces
About this Title
Pandelis Dodos, University of Athens, Athens, Greece and Vassilis Kanellopoulos, National Technical University of Athens, Athens, Greece
Publication: Mathematical Surveys and Monographs
Publication Year:
2016; Volume 212
ISBNs: 978-1-4704-2808-2 (print); 978-1-4704-3017-7 (online)
DOI: https://doi.org/10.1090/surv/212
MathSciNet review: MR3469779
MSC: Primary 03-02; Secondary 03E02, 05-02, 05D10
Table of Contents
Front/Back Matter
Chapters
- Chapter 1. Basic concepts
Part 1. Coloring theory
- Chapter 2. Combinatorial spaces
- Chapter 3. Strong subtrees
- Chapter 4. Variable words
- Chapter 5. Finite sets of words
Part 2. Density theory
- Chapter 6. Szemerédi’s regularity method
- Chapter 7. The removal lemma
- Chapter 8. The density Hales–Jewett theorem
- Chapter 9. The density Carlson–Simpson theorem
Part 3. Appendices
- Appendix A. Primitive recursive functions
- Appendix B. Ramsey’s theorem
- Appendix C. The Baire property
- Appendix D. Ultrafilters
- Appendix E. Probabilistic background
- Appendix F. Open problems