A Cp-Theory Problem Book: Topological and Function Spaces (Problem Books in Mathematics) - Softcover

Book 21 of 76: Problem Books in Mathematics

Tkachuk, Vladimir V.

 
9781461428459: A Cp-Theory Problem Book: Topological and Function Spaces (Problem Books in Mathematics)
Softcover
ISBN 10: 1461428459 ISBN 13: 9781461428459
Publisher: Springer, 2013

Synopsis

The theory of function spaces endowed with the topology of point wise convergence, or Cp-theory, exists at the intersection of three important areas of mathematics: topological algebra, functional analysis, and general topology. Cp-theory has an important role in the classification and unification of heterogeneous results from each of these areas of research. Through over 500 carefully selected problems and exercises, this volume provides a self-contained introduction to Cp-theory and general topology. By systematically introducing each of the major topics in Cp-theory, this volume is designed to bring a dedicated reader from basic topological principles to the frontiers of modern research. Key features include: - A unique problem-based introduction to the theory of function spaces. - Detailed solutions to each of the presented problems and exercises. - A comprehensive bibliography reflecting the state-of-the-art in modern Cp-theory. - Numerous open problems and directions for further research. This volume can be used as a textbook for courses in both Cp-theory and general topology as well as a reference guide for specialists studying Cp-theory and related topics. This book also provides numerous topics for PhD specialization as well as a large variety of material suitable for graduate research.

"synopsis" may belong to another edition of this title.

From the Back Cover

The theory of function spaces endowed with the topology of pointwise convergence, or Cp-theory, exists at the intersection of three important areas of mathematics: topological algebra, functional analysis, and general topology. Cp-theory has an important role in the classification and unification of heterogeneous results from each of these areas of research. Through over 500 carefully selected problems and exercises, this volume provides a self-contained introduction to Cp-theory and general topology. By systematically introducing each of the major topics in Cp-theory, this volume is designed to bring a dedicated reader from basic topological principles to the frontiers of modern research. Key features include: - A unique problem-based introduction to the theory of function spaces. - Detailed solutions to each of the presented problems and exercises. - A comprehensive bibliography reflecting the state-of-the-art in modern Cp-theory. - Numerous open problems and directions for further research. This volume can be used as a textbook for courses in both Cp-theory and general topology as well as a reference guide for specialists studying Cp-theory and related topics. This book also provides numerous topics for PhD specialization as well as a large variety of material suitable for graduate research.

"About this title" may belong to another edition of this title.

Publisher
Springer
Publication date
2013
Language
English
ISBN 10 
1461428459
ISBN 13 
9781461428459
Binding
Paperback
Number of pages
504

Other Popular Editions of the Same Title

9781441974419: A Cp-Theory Problem Book: Topological and Function Spaces (Problem Books in Mathematics)

Featured Edition

ISBN 10:  1441974415 ISBN 13:  9781441974419
Publisher: Springer, 2011
Hardcover