Function Spaces with Uniform, Fine and Graph Topologies

• Main Authors: McCoy, Robert A. (Author, http://id.loc.gov/vocabulary/relators/aut), Kundu, Subiman (http://id.loc.gov/vocabulary/relators/aut), Jindal, Varun (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2018.
• Edition: 1st ed. 2018.
• Series: SpringerBriefs in Mathematics,
• Subjects: Topology.

This book presents a comprehensive account of the theory of spaces of continuous functions under uniform, fine and graph topologies. Besides giving full details of known results, an attempt is made to give generalizations wherever possible, enriching the existing literature. The goal of this monogra...

Table of Contents:

• Preface
• Introduction
• 1 Preliminaries
• 2 Metrizability and Completeness Properties of Cτ (X, Y ) for τ = d, f, g
• 3 Cardinal Functions and Countability Properties
• 4 Connectedness and Path Connectedness of Cτ (X, Y ) for a Normed Linear Space Y , where τ = d, f, g. - 5 Compactness in Cτ (X, Y ) for τ = d, f, g. - 6 Spaces of Homeomorphisms
• Bibliography
• List of Symbols
• Index.