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Function spaces with uniform, fine a...

Jindal, Varun.

Function spaces with uniform, fine and graph topologies

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Function spaces with uniform, fine and graph topologiesby Robert A. McCoy, Subiman Kundu, Varun Jindal.
作者:	McCoy, Robert A.
其他作者:	Kundu, Subiman.
出版者:	Cham :Springer International Publishing :2018.
面頁冊數:	xviii, 106 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
標題:	Function spaces.
電子資源:	http://dx.doi.org/10.1007/978-3-319-77054-3
ISBN:	9783319770543$q(electronic bk.)

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$q(electronic bk.)

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

185785
Function spaces.

LC Class. No.: QA323

Dewey Class. No.: 515.73

Function spaces with uniform, fine and graph topologies
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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.
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