Ramsey theory for product spaces /

510MS
Am512

137675

Dodos, Pandelis, Ramsey theory for product spaces / Pandelis Dodos and Vassilis Kanellopoulos. - Providence : American Mathematical Society, ©2016.
ix, 245 pages ; 26 cm. - (Mathematical surveys and monographs ; v 212.) Content notes : 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 120 --
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. 9781470428082 * Ramsey theory. Combinatorial analysis. Topological spaces. * Kanellopoulos, Vassilis, * Title * Series