03177nam 22005415 450 991030010970332120240905094116.097833197705433-319-77054-310.1007/978-3-319-77054-3(CKB)4100000003359510(MiAaPQ)EBC5356110(DE-He213)978-3-319-77054-3(PPN)258862653(PPN)226697347(EXLCZ)99410000000335951020180421d2018 u| 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierFunction spaces with uniform, fine and graph topologies /by Robert A. McCoy, Subiman Kundu, Varun JindalCham :Springer International Publishing :Imprint: Springer,[2018].1 online resource (121 pages)SpringerBriefs in Mathematics,2191-81989783319770536 3-319-77053-5 Includes bibliographical references and index.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.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 monograph is to provide an extensive study of the uniform, fine and graph topologies on the space C(X,Y) of all continuous functions from a Tychonoff space X to a metric space (Y,d); and the uniform and fine topologies on the space H(X) of all self-homeomorphisms on a metric space (X,d). The subject matter of this monograph is significant from the theoretical viewpoint, but also has applications in areas such as analysis, approximation theory and differential topology. Written in an accessible style, this book will be of interest to researchers as well as graduate students in this vibrant research area.SpringerBriefs in Mathematics,2191-8198TopologyTopologyhttps://scigraph.springernature.com/ontologies/product-market-codes/M28000TopologialemacEspais topològicslemacTopology.Topology.TopologiaEspais topològics515.73McCoy Robert Aauthttp://id.loc.gov/vocabulary/relators/aut726138Kundu Subimanauthttp://id.loc.gov/vocabulary/relators/autJindal Varunauthttp://id.loc.gov/vocabulary/relators/autBOOK9910300109703321Function Spaces with Uniform, Fine and Graph Topologies2240078UNINA