國立虎尾科技大學 |

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.
Description:	XVIII, 106 p.online resource. :
Contained By:	Springer Nature eBook
Subject:	Topology. -
Online resource:	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
LDR:02681nam a22003975i 4500 001 992204
003 DE-He213
005 20200702075852.0
007 cr nn 008mamaa
008 201225s2018 gw | s |||| 0|eng d
020 $a 9783319770543 $9 978-3-319-77054-3
024 7 $a 10.1007/978-3-319-77054-3 $2 doi
035 $a 978-3-319-77054-3
050 4 $a QA611-614.97
072 7 $a PBP $2 bicssc
072 7 $a MAT038000 $2 bisacsh
072 7 $a PBP $2 thema
082 0 4 $a 514 $2 23
100 1 $a McCoy, Robert A. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $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.
250 $a 1st ed. 2018.
264 1 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2018.
300 $a XVIII, 106 p. $b online resource.
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
347 $a text file $b PDF $2 rda
490 1 $a SpringerBriefs in Mathematics, $x 2191-8198
505 0 $a 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.
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 Topology. $3 633483
700 1 $a Kundu, Subiman. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1203941
700 1 $a Jindal, Varun. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1203942
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
776 0 8 $i Printed edition: $z 9783319770536
776 0 8 $i Printed edition: $z 9783319770550
830 0 $a SpringerBriefs in Mathematics, $x 2191-8198 $3 1255329
856 4 0 $u https://doi.org/10.1007/978-3-319-77054-3
912 $a ZDB-2-SMA
912 $a ZDB-2-SXMS
950 $a Mathematics and Statistics (SpringerNature-11649)
950 $a Mathematics and Statistics (R0) (SpringerNature-43713)