A Cp-Theory Problem Book - Topological and Function Spaces (Paperback, 2011 ed.)

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.

General

Imprint:	Springer-Verlag New York
Country of origin:	United States
Series:	Problem Books in Mathematics
Release date:	April 2013
First published:	2011
Authors:	Vladimir V. Tkachuk
Dimensions:	235 x 155 x 25mm (L x W x T)
Format:	Paperback
Pages:	488
Edition:	2011 ed.
ISBN-13:	978-1-4614-2845-9
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Functional analysis Books > Science & Mathematics > Mathematics > Geometry > Analytic geometry Books > Science & Mathematics > Mathematics > Topology > General
LSN:	1-4614-2845-9
Barcode:	9781461428459

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