Topologies on Closed and Closed Convex Sets: 268 (Mathematics and Its Applications) - Tapa dura

Beer, Gerald

 
9780792325314: Topologies on Closed and Closed Convex Sets: 268 (Mathematics and Its Applications)
Tapa dura
ISBN 10: 0792325311 ISBN 13: 9780792325314
Editorial: Springer, 1993

Sinopsis

This monograph provides an introduction to the theory of topologies defined on the closed subsets of a metric space, and on the closed convex subsets of a normed linear space as well. A unifying theme is the relationship between topology and set convergence on the one hand, and set functionals on the other. The text includes for the first time anywhere an exposition of three topologies that over the past ten years have become fundamental tools in optimization, one-sided analysis, convex analysis, and the theory of multifunctions: the Wijsman topology, the Attouch--Wets topology, and the slice topology. Particular attention is given to topologies on lower semicontinuous functions, especially lower semicontinuous convex functions, as associated with their epigraphs. The interplay between convex duality and topology is carefully considered and a chapter on set-valued functions is included. The book contains over 350 exercises and is suitable as a graduate text.
This book is of interest to those working in general topology, set-valued analysis, geometric functional analysis, optimization, convex analysis and mathematical economics.

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Reseña del editor

This monograph provides an introduction to the theory of topologies defined on the closed subsets of a metric space, and on the closed convex subsets of a normed linear space as well. A unifying theme is the relationship between topology and set convergence on the one hand, and set functionals on the other. The text includes for the first time anywhere an exposition of three topologies that over the past ten years have become fundamental tools in optimization, one-sided analysis, convex analysis, and the theory of multifunctions: the Wijsman topology, the Attouch--Wets topology, and the slice topology. Particular attention is given to topologies on lower semicontinuous functions, especially lower semicontinuous convex functions, as associated with their epigraphs. The interplay between convex duality and topology is carefully considered and a chapter on set-valued functions is included. The book contains over 350 exercises and is suitable as a graduate text.
This book is of interest to those working in general topology, set-valued analysis, geometric functional analysis, optimization, convex analysis and mathematical economics.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
Springer
Año de publicación
1993
Idioma
Inglés
ISBN 10 
0792325311
ISBN 13 
9780792325314
Encuadernación
Tapa dura
Número de páginas
356
Contacto del fabricante
ROXIO
https://www.also.com/ec/cms5/en_6000/6000/index.jsp

Friedrich-Karl-Str. 9
Hamburg
22391
Alemania

Otras ediciones populares con el mismo título

9789048143337: Topologies on Closed and Closed Convex Sets: 268 (Mathematics and Its Applications)

Edición Destacada

ISBN 10:  9048143330 ISBN 13:  9789048143337
Editorial: Springer, 2010
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