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Function spaces with uniform, fine a...

McCoy, Robert A.

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Function spaces with uniform, fine and graph topologies

Record Type:	Electronic resources : Monograph/item
Title/Author:	Function spaces with uniform, fine and graph topologies/ by Robert A. McCoy, Subiman Kundu, Varun Jindal.
Author:	McCoy, Robert A.
other author:	Kundu, Subiman.
Published:	Cham :Springer International Publishing : : 2018.,
Description:	xviii, 106 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Function spaces. -
Online resource:	http://dx.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. - Cham :Springer International Publishing :2018. - xviii, 106 p. :ill., digital ;24 cm. - SpringerBriefs in mathematics,2191-8198. - SpringerBriefs in mathematics..

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:

596357
Function spaces.

LC Class. No.: QA323

Dewey Class. No.: 515.73

Function spaces with uniform, fine and graph topologies
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100 1 $a McCoy, Robert A. $3 3321717
245 1 0 $a Function spaces with uniform, fine and graph topologies $h [electronic resource] / $c by Robert A. McCoy, Subiman Kundu, Varun Jindal.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2018.
300 $a xviii, 106 p. : $b ill., digital ; $c 24 cm.
490 1 $a SpringerBriefs in mathematics, $x 2191-8198
520 $a 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.
650 0 $a Function spaces. $3 596357
650 0 $a Topology. $3 522026
650 1 4 $a Mathematics. $3 515831
700 1 $a Kundu, Subiman. $3 3321718
700 1 $a Jindal, Varun. $3 3321719
710 2 $a SpringerLink (Online service) $3 836513
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830 0 $a SpringerBriefs in mathematics. $3 1566700
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-77054-3
950 $a Mathematics and Statistics (Springer-11649)