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Book Categories |
I | Background Development | 1 |
Notation | 2 | |
1 | Semigroups and Their Ideals | 3 |
2 | Right Topological Semigroups | 31 |
3 | [beta] D | 48 |
4 | [beta] S | 72 |
5 | [beta] S and Ramsey Theory | 90 |
II | Algebra of [beta] S | 105 |
6 | Ideals and Commutativity in [beta] S | 107 |
7 | Groups in [beta] S | 136 |
8 | Cancellation | 158 |
9 | Idempotents | 186 |
10 | Homomorphisms | 205 |
11 | The Rudin-Keisler Order | 222 |
12 | Ultrafilters Generated by Finite Sums | 236 |
13 | Multiple Structures in [beta] S | 258 |
III | Combinatorial Applications | 277 |
14 | The Central Sets Theorem | 279 |
15 | Partition Regularity of Matrices | 296 |
16 | IP, IP*, Central, and Central* Sets | 320 |
17 | Sums and Products | 339 |
18 | Multidimensional Ramsey Theory | 369 |
IV | Connections With Other Structures | 395 |
19 | Relations With Topological Dynamics | 397 |
20 | Density - Connections with Ergodic Theory | 412 |
21 | Other Semigroup Compactifications | 425 |
Bibliography | 455 | |
List of Symbols | 471 | |
Index | 475 |
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