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Algebra in the Stone-Cech Compactification: Theory and Applications Book

Algebra in the Stone-Cech Compactification: Theory and Applications
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  • Algebra in the Stone-Cech Compactification: Theory and Applications
  • Written by author Neil Hindman
  • Published by De Gruyter, Walter, Inc., 12/19/2011
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Book Categories

Authors

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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