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A Cp-Theory Problem Book - Topological and Function Spaces (Paperback, 2011 ed.)
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A Cp-Theory Problem Book - Topological and Function Spaces (Paperback, 2011 ed.)
Series: Problem Books in Mathematics
Expected to ship within 10 - 15 working days
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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.
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