A Cp-Theory Problem Book

Special Features of Function Spaces
Softcover Nachdruck of the original 1. Auflage 2014
ISBN: 978-3-319-37794-0
Verlag: Springer International Publishing

Buch, Englisch, 583 Seiten, Previously published in hardcover, Format (B × H): 155 mm x 235 mm, Gewicht: 8949 g

Reihe: Problem Books in Mathematics

This work is a continuation of the first volume published by Springer in 2011, entitled "A Cp-Theory Problem Book: Topological and Function Spaces." The first volume provided an introduction from scratch to Cp-theory and general topology, preparing the reader for a professional understanding of Cp-theory in the last section of its main text. This present volume covers a wide variety of topics in Cp-theory and general topology at the professional level bringing the reader to the frontiers of modern research. The volume contains 500 problems and exercises with complete solutions. It can also be used as an introduction to advanced set theory and descriptive set theory. The book presents diverse topics of the theory of function spaces with the topology of pointwise convergence, or Cp-theory which exists at the intersection of topological algebra, functional analysis and general topology. Cp-theory has an important role in the classification and unification of heterogeneous results from these areas of research. Moreover, this book gives a reasonably complete coverage of Cp-theory through 500 carefully selected problems and exercises. By systematically introducing each of the major topics of Cp-theory the book is intended to bring a dedicated reader from basic topological principles to the frontiers of modern research.

Zielgruppe

Upper undergraduate

Autoren/Hrsg.

Tkachuk, Vladimir V.

Fachgebiete

• Mathematik | Informatik Mathematik Topologie Algebraische Topologie
• Mathematik | Informatik Mathematik Topologie Analytische Topologie
• Mathematik | Informatik Mathematik Mathematische Analysis Funktionalanalysis

Inhaltsverzeichnis

Detailed Summary of Exercise Sections.- Preface.- Introduction.- 1. Duality Theorems and Properties of Function Spaces.- 2. Solutions of Problems 001-500.- 3. Bonus Results: Some Hidden statements.- 4. Open Problems.- Bibliography.- List of Special Symbols.- Index.

Über Autor(innen)

Vladimir V. Tkachuk is a professor in the Department of Mathematics of Autonomous Metropolitan University in Mexico City. He holds a PhD from Moscow State University and is the author of "A Cp-Theory Problem Book: Topological and Function Spaces" (Springer, 2011).