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Opis

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.

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Kategoria Książki po angielsku Mathematics & science Mathematics Calculus & mathematical analysis

• Pełny tytuł: Cp-Theory Problem Book
• Podtytuł: Topological and Function Spaces
• Autor: Vladimir V. Tkachuk
• Język: Angielski
• Oprawa: Twarda
• Liczba stron: 488
• EAN: 9781441974419
• ISBN: 1441974415
• ID: 01424216
• Wydawca: Springer-Verlag New York Inc.
• Waga: 886 g
• Wymiary: 163 × 236 × 38 mm
• Data wydania: 05. April 2011

Ulubione w innej kategorii

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