українською home about VNTL Shopping Cartview cart check out site map
 Catalog
   Books
    MS Mon. Series
    Fiction
   Journals
 Online Resources
Title: Ultrafilters and Topologies on Groups
Authors: Mahmoud Filali, Igor V. Protasov
ISBN: 966-7148-14-0
Price: 75.00 USD
Pages: 258
Format: 160x240 mm
Cover: cloth.
  
  [ Additional Info ] [ Contents ]
 
Abstract:
The book is devoted to the studying of ultrafilters in topological algebra. The main object of investigations is the Stone-Cech compactification betaG of a topological group G. The set betaG is a right topological semigroup and the continuity of the operation involving the left translation is extensively studied in the book. The richness of algebraic structure, makes the semigroup betaG very useful and with plenty of applications in combinatorics as well as in functional analysis, in particular, to the left convolution algebras. In the book, the algebra in the Stone-Cech compactification is used to construct and study topologies on groups.

Additional Info:
  Mathematical Studies: Monograph Series. Volume 13

Contents:
PREFACE
1 BACKGROUND
2 SEMIGROUP COMPACTIFICATIONS
3 FILTERS ON GROUPS
4 SEMIGROUPS OF ULTRAFILTERS
5 IDEALS
6 CANCELLATION
7 EQUATIONS
8 MORPHISMS
9 CONTINUITY IN betaG AND G*
10 RAMSEY-LIKE ULTRAFILTERS
11 MAXIMALITY
12 REFINEMENTS
13 RESOLVABILITY
14 COMPACTNESS AND ULTRA-RANK
15 BALLEANS AND betaG


    Copyright VNTL-Klasyka Publishers, 1996-2002; Developed by e-design, 2002