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Function spaces with uniform, fine a...

McCoy, Robert A.

Function spaces with uniform, fine and graph topologies

Record Type:	Language materials, printed : 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:

683006
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 1203940
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 : $c 2018. $b Springer International Publishing : $b Imprint: Springer,
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 683006
650 0 $a Topology. $3 633483
650 1 4 $a Mathematics. $3 527692
700 1 $a Kundu, Subiman. $3 1203941
700 1 $a Jindal, Varun. $3 1203942
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer eBooks
830 0 $a SpringerBriefs in mathematics. $3 883715
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-77054-3
950 $a Mathematics and Statistics (Springer-11649)

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