Ex-library with stamp and library-signature. GOOD condition, some traces of use. Ancien Exemplaire de biblioth�que avec signature et cachet. BON �tat, quelques traces d'usure. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. 54 BEE 9780792325314 Sprache: Englisch Gewicht in Gramm: 550.

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Detalles bibliogr�ficos

T�tulo

Topologies on closed and closed convex sets. Mathematics and its applications Reidel 268; Mathematics and its applications 268.

Editor

Dordrecht Boston , Kluwer Academic Publishers [1993].

Fecha de publicaci�n

1993

Idioma

Ingl�s

ISBN 10

0792325311

ISBN 13

9780792325314

Encuadernaci�n

Hardcover

Cat�logos de vendedores

SA MATHEMATIK

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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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