Subiman Kundu's Books

Metric Spaces And Related Analysis

By: Subiman Kundu,Manisha Aggarwal

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Metric Spaces And Related Analysis

By: Subiman Kundu,Manisha Aggarwal

This book offers the comprehensive study of one of the foundational topics in Mathematics, known as Metric Spaces. The book delivers the concepts in an appropriate and concise manner, at the same time rich in illustrations and exercise problems. Special focus has been laid on important theorems like Baire's Category theorem, Heine-Borel theorem, Ascoli-Arzela Theorem, etc, which play a crucial role in the study of metric spaces.The additional chapter on Cofinal completeness, UC spaces and finite chainability makes the text unique of its kind. This helps the students in: Readers will also find brief discussions on various subtleties of continuity like subcontinuity, upper semi-continuity, lower semi-continuity, etc. The interested readers will be motivated to explore the special classes of functions between metric spaces to further extent.Consequently, the book becomes a complete package: it makes the foundational pillars strong and develops the interest of students to pursue research in metric spaces. The book is useful for third and fourth year undergraduate students and it is also helpful for graduate students and researchers.

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Page Count

270

Publisher

World Scientific

Published Date

ISBN 10

9811278938

ISBN 13

9789811278938

Function Spaces with Uniform, Fine and Graph Topologies

By: Robert A. McCoy,Subiman Kundu,Varun Jindal

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Function Spaces with Uniform, Fine and Graph Topologies

By: Robert A. McCoy,Subiman Kundu,Varun Jindal

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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Page Count

121

Publisher

Springer

Published Date

ISBN 10

3319770543

ISBN 13

9783319770543

Cofinally Complete Metric Spaces And Related Functions

By: Subiman Kundu,Manisha Aggarwal,Lipsy Gupta

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Cofinally Complete Metric Spaces And Related Functions

By: Subiman Kundu,Manisha Aggarwal,Lipsy Gupta

The monograph targets a huge variety of characterizations of cofinally complete metric spaces. These spaces are studied in terms of several properties of some classes of functions between metric spaces that are stronger than the continuous functions such as Cauchy-regular, uniformly continuous, strongly uniformly continuous, and various Lipschitz-type functions. There is one chapter that is dedicated to studying cofinally complete metric spaces in terms of hyperspace and function space topologies. Along with that, various characterizations are studied in terms of geometric functionals, sequences, Cantor-type conditions, etc. The study of such spaces is interesting as well as it has nice connections with various other branches of mathematics such as convex analysis, optimization theory, fixed point theory, functional analysis and approximation theory. But until now, there has been no textbook or research monograph which presents the entire theory of these spaces in a comprehensive way. The study of the aforesaid spaces and their variants is still a vibrant area of research, and many prominent researchers are working in this area.The book is targeted at researchers as well as graduate students interested in real functions, analysis on metric spaces, topology, and the aforementioned. Since the monograph often discusses various properties of Lipschitz-type functions, it would be of interest to people interested in PDEs as well.

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Page Count

151

Publisher

World Scientific

Published Date

ISBN 10

9811272670

ISBN 13

9789811272677

Cofinally Complete Metric Spaces And Related Functions

By: Subiman Kundu,Manisha Aggarwal,Lipsy Gupta

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Cofinally Complete Metric Spaces And Related Functions

By: Subiman Kundu,Manisha Aggarwal,Lipsy Gupta

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Solve jigsaw puzzle

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Page Count

151

Publisher

World Scientific

Published Date

ISBN 10

9811272670

ISBN 13

9789811272677

Function Spaces with Uniform, Fine and Graph Topologies

By: Robert A. McCoy,Subiman Kundu,Varun Jindal

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Function Spaces with Uniform, Fine and Graph Topologies

By: Robert A. McCoy,Subiman Kundu,Varun Jindal

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N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

121

Publisher

Springer

Published Date

ISBN 10

3319770543

ISBN 13

9783319770543

Book's by Subiman Kundu

Metric Spaces And Related Analysis

Metric Spaces And Related Analysis

Function Spaces with Uniform, Fine and Graph Topologies

Function Spaces with Uniform, Fine and Graph Topologies

Cofinally Complete Metric Spaces And Related Functions

Cofinally Complete Metric Spaces And Related Functions

Cofinally Complete Metric Spaces And Related Functions

Cofinally Complete Metric Spaces And Related Functions

Function Spaces with Uniform, Fine and Graph Topologies

Function Spaces with Uniform, Fine and Graph Topologies

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