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EBOOKS
Autor Tkachuk, Vladimir V. author.

Título A Cp-Theory Problem Book [electronic resource] : Topological and Function Spaces / by Vladimir V. Tkachuk.

Publicación New York, NY : Springer New York, 2011.
Descripción física XVI, 488 p. online resource.
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
text file PDF rda
Colección Problem Books in Mathematics, 0941-3502
Problem Books in Mathematics, 0941-3502
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Springer eBooks. Mathematics and Statistics
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Contiene: Preface -- Introduction -- 1.1. Basic notions of topology and function spaces Bibliographic notes -- 1.2. Solutions of problems 1.001́㱮500 -- 1.3. Bonus results: some hidden statements -- 1.4. Open problems -- 1.5. Bibliography -- 1.6. List of special symbols -- 1.7. Index.
Resumen: 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.
Materia Mathematics.
Topology.
Algebraic topology.
Manifolds (Mathematics).
Complex manifolds.
Mathematics.
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Topology.
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Algebraic Topology.
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Manifolds and Cell Complexes (incl. Diff.Topology).
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Autor secundario SpringerLink (Online service)
En Springer eBooks
OTRO SOPORTE Printed edition: 9781441974419
ISBN 9781441974426 978-1-4419-7442-6
ISBN/ISSN 10.1007/978-1-4419-7442-6 doi