Overview
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
Includes supplementary material: sn.pub/extras
Part of the book series: Problem Books in Mathematics (PBM)
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Table of contents (4 chapters)
Keywords
About this book
Reviews
From the reviews:
"This is a well-written and very interesting book from several points of view. It is designed for mathematicians who are dealing with Cp-theory for the first time but also for mathematicians with very good knowledge of the subject. It is designed to bring a dedicated reader from the basic topological principles to the frontiers of modern research. Any reasonable course in calculus covers everything needed to understand this book. This volume can also be used as a reference for mathematicians working in or outside the field of topology (functional analysis) wanting to use results or methods of Cp-thoery...On the whole, the book provides a useful addition to the literature on Cp-theory, especially at the instructional level." (Dimitrios N. Georgiou, Mathematical Reviews)
“A guidebook for the reader to reach the frontiers of this field as of 2010 without first having to master a large amount of general topology. … A detailed summary of exercises divides each basic notion into a number of topics. … The Bibliography and Index are adequate for a reader working his way through the book … . This book is a welcome addition to the field of general topology and Cp-theory in particular.” (James V. Whittaker, Zentralblatt MATH, Vol. 1222, 2011)
Authors and Affiliations
Bibliographic Information
Book Title: A Cp-Theory Problem Book
Book Subtitle: Topological and Function Spaces
Authors: Vladimir V. Tkachuk
Series Title: Problem Books in Mathematics
DOI: https://doi.org/10.1007/978-1-4419-7442-6
Publisher: Springer New York, NY
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Science+Business Media, LLC 2011
Hardcover ISBN: 978-1-4419-7441-9Published: 05 April 2011
Softcover ISBN: 978-1-4614-2845-9Published: 19 April 2013
eBook ISBN: 978-1-4419-7442-6Published: 23 March 2011
Series ISSN: 0941-3502
Series E-ISSN: 2197-8506
Edition Number: 1
Number of Pages: XVI, 488
Topics: Topology, Algebraic Topology, Manifolds and Cell Complexes (incl. Diff.Topology)