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Algebra in the Stone-Cech Compactification

Author : Neil Hindman
Publisher : Walter de Gruyter
Page : 501 pages
File Size : 34,7 MB
Release : 2011-04-20
Category : Mathematics
ISBN : 3110809222

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The aim of the series is to present new and important developments in pure and applied mathematics. Well established in the community over two decades, it offers a large library of mathematics including several important classics. The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question. In addition, they convey their relationships to other parts of mathematics. The series is addressed to advanced readers wishing to thoroughly study the topic. Editorial Board Lev Birbrair, Universidade Federal do Ceará, Fortaleza, Brasil Victor P. Maslov, Russian Academy of Sciences, Moscow, Russia Walter D. Neumann, Columbia University, New York, USA Markus J. Pflaum, University of Colorado, Boulder, USA Dierk Schleicher, Jacobs University, Bremen, Germany

Topics in Topology

Author : Stevo Todorcevic
Publisher : Springer
Page : 161 pages
File Size : 30,93 MB
Release : 2006-11-14
Category : Mathematics
ISBN : 3540683380

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The book describes some interactions of topology with other areas of mathematics and it requires only basic background. The first chapter deals with the topology of pointwise convergence and proves results of Bourgain, Fremlin, Talagrand and Rosenthal on compact sets of Baire class-1 functions. In the second chapter some topological dynamics of beta-N and its applications to combinatorial number theory are presented. The third chapter gives a proof of the Ivanovskii-Kuzminov-Vilenkin theorem that compact groups are dyadic. The last chapter presents Marjanovic's classification of hyperspaces of compact metric zerodimensional spaces.

Algebra in the Stone-Cech Compactification

Author : Neil Hindman
Publisher : Walter de Gruyter
Page : 610 pages
File Size : 15,48 MB
Release : 2011-12-23
Category : Mathematics
ISBN : 3110258358

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This is the second revised and extended edition of the successful book on the algebraic structure of the Stone-Čech compactification of a discrete semigroup and its combinatorial applications, primarily in the field known as Ramsey Theory. There has been very active research in the subject dealt with by the book in the 12 years which is now included in this edition. This book is a self-contained exposition of the theory of compact right semigroups for discrete semigroups and the algebraic properties of these objects. The methods applied in the book constitute a mosaic of infinite combinatorics, algebra, and topology. The reader will find numerous combinatorial applications of the theory, including the central sets theorem, partition regularity of matrices, multidimensional Ramsey theory, and many more.

Set Theory and its Applications

Author : Juris Steprans
Publisher : Springer
Page : 233 pages
File Size : 13,42 MB
Release : 2006-11-14
Category : Mathematics
ISBN : 3540467955

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The Set Theory and Applications meeting at York University, Ontario, featured both contributed talks and a series of invited lectures on topics central to set theory and to general topology. These proceedings contain a selection of the resulting papers, mostly announcing new unpublished results.