Function Spaces with Uniform, Fine and Graph Topologies

ISBN-13: 9783319770536 / Angielski / Miękka / 2018 / 106 str.

Robert a. McCoy; Subiman Kundu; Varun Jindal

Recenzje

"The monograph provides a detailed introduction to the theory of function spaces with uniform, fine and graph topologies together with complete proofs of the most up to date results in the area. The book will certainly be useful for specialists working in topology and functional analysis as well as for students who need to learn the basics of the theory of the respective function spaces." (Vladimir Tkachuk, zbMATH 1395.54001, 2018)

Spis treści

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.