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Function Spaces with Uniform, Fine and Graph Topologies

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Function Spaces with Uniform, Fine and Graph Topologies/ by Robert A. McCoy, Subiman Kundu, Varun Jindal.
作者:	McCoy, Robert A.
其他作者:	Kundu, Subiman.
面頁冊數:	XVIII, 106 p.online resource. :
Contained By:	Springer Nature eBook
標題:	Topology. -
電子資源:	https://doi.org/10.1007/978-3-319-77054-3
ISBN:	9783319770543

Function Spaces with Uniform, Fine and Graph Topologies
McCoy, Robert A.

Function Spaces with Uniform, Fine and Graph Topologies[electronic resource] /by Robert A. McCoy, Subiman Kundu, Varun Jindal. - 1st ed. 2018. - XVIII, 106 p.online resource. - SpringerBriefs in Mathematics,2191-8198. - SpringerBriefs in Mathematics,.

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.

ISBN: 9783319770543

Standard No.: 10.1007/978-3-319-77054-3doiSubjects--Topical Terms:

633483
Topology.

LC Class. No.: QA611-614.97

Dewey Class. No.: 514

Function Spaces with Uniform, Fine and Graph Topologies
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