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Topologies on Closed and Closed Convex Sets (Hardcover, 1993 ed.)
Loot Price: R1,725
Discovery Miles 17 250
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Topologies on Closed and Closed Convex Sets (Hardcover, 1993 ed.)
Series: Mathematics and Its Applications, 268
Expected to ship within 10 - 15 working days
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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.
General
Imprint: |
Springer
|
Country of origin: |
Netherlands |
Series: |
Mathematics and Its Applications, 268 |
Release date: |
June 2003 |
First published: |
October 1993 |
Authors: |
Gerald Beer
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Dimensions: |
234 x 156 x 20mm (L x W x T) |
Format: |
Hardcover
|
Pages: |
340 |
Edition: |
1993 ed. |
ISBN-13: |
978-0-7923-2531-4 |
Categories: |
Books >
Science & Mathematics >
Mathematics >
Topology >
Algebraic topology
Promotions
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LSN: |
0-7923-2531-1 |
Barcode: |
9780792325314 |
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