Springer eBooks may be purchased by end-customers only and are sold without copy protection (DRM free). Instead, all eBooks include personalized watermarks. This means you can read the Springer eBooks across numerous devices such as Laptops, eReaders, and tablets.
You can pay for Springer eBooks with Visa, Mastercard, American Express or Paypal.
After the purchase you can directly download the eBook file or read it online in our Springer eBook Reader. Furthermore your eBook will be stored in your MySpringer account. So you can always re-download your eBooks.
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 future research
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.
Content Level »Upper undergraduate
Keywords »C_p-theory - General Topology - Point-Set topology - compactness - function spaces - metrizability - open problems - pointwise convergence