Algebra in the Stone-Cech Compactification: Theory and Applications

Neil Hindman; Dona Strauss

Published by De Gruyter 1998

Algebra in the Stone-Cech Compactification

Theory and Applications

Neil Hindman and Dona Strauss

Volume 27 in the series De Gruyter Expositions in Mathematics

https://doi.org/10.1515/9783110809220

Contents

Frontmatter Publicly Available Download PDF	I
I. Background Development
Notation Requires Authentication Unlicensed Licensed Download PDF	2
1 Semigroups and Their Ideals Requires Authentication Unlicensed Licensed Download PDF	3
2 Right Topological Semigroups Requires Authentication Unlicensed Licensed Download PDF	31
3 βD Requires Authentication Unlicensed Licensed Download PDF	48
4 βS Requires Authentication Unlicensed Licensed Download PDF	72
5 βS and Ramsey Theory Requires Authentication Unlicensed Licensed Download PDF	90
II. Algebra of βS
6 Ideals and Commutativity in βS Requires Authentication Unlicensed Licensed Download PDF	107
7 Groups in βS Requires Authentication Unlicensed Licensed Download PDF	136
8 Cancellation Requires Authentication Unlicensed Licensed Download PDF	158
9 Idempotents Requires Authentication Unlicensed Licensed Download PDF	186
10 Homomorphisms Requires Authentication Unlicensed Licensed Download PDF	205
11 The Rudin-Keisler Order Requires Authentication Unlicensed Licensed Download PDF	222
12 Ultrafilters Generated by Finite Sums Requires Authentication Unlicensed Licensed Download PDF	236
13 Multiple Structures in βS Requires Authentication Unlicensed Licensed Download PDF	258
III. Combinatorial Applications
14 The Central Sets Theorem Requires Authentication Unlicensed Licensed Download PDF	279
15 Partition Regularity of Matrices Requires Authentication Unlicensed Licensed Download PDF	296
16 IP, IP, Central, and Central Sets Requires Authentication Unlicensed Licensed Download PDF	320
17 Sums and Products Requires Authentication Unlicensed Licensed Download PDF	339
18 Multidimensional Ramsey Theory Requires Authentication Unlicensed Licensed Download PDF	369
IV. Connections With Other Structures
19 Relations With Topological Dynamics Requires Authentication Unlicensed Licensed Download PDF	397
20 Density — Connections with Ergodic Theory Requires Authentication Unlicensed Licensed Download PDF	412
21 Other Semigroup Compactifications Requires Authentication Unlicensed Licensed Download PDF	425
Bibliography Requires Authentication Unlicensed Licensed Download PDF	455
List of Symbols Requires Authentication Unlicensed Licensed Download PDF	471
Index Requires Authentication Unlicensed Licensed Download PDF	475
Backmatter Requires Authentication Unlicensed Licensed Download PDF	486

Language: English
Publisher: De Gruyter
Pages
- Front matter: 13
- Main content: 485

eBook

Published: April 20, 2011
ISBN: 9783110809220

Hardcover

Published: August 13, 1998
ISBN: 9783110154207