Topologies on Closed and Closed Convex Sets (Record no. 13626)

MARC details
000 -LEADER
fixed length control field 01985nmm a22002535i 4500
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20230705150634.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 140112s1993 ne | s |||| 0|eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9789401581493
-- 978-94-015-8149-3
082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 514
Edition number 23
100 ## - MAIN ENTRY--PERSONAL NAME
Personal name Beer, Gerald.
9 (RLIN) 20290
245 ## - TITLE STATEMENT
Title Topologies on Closed and Closed Convex Sets
Medium [electronic resource] /
Statement of responsibility, etc. by Gerald Beer.
250 ## - EDITION STATEMENT
Edition statement 1st ed. 1993.
260 ## - PUBLICATION, DISTRIBUTION, ETC.
Place of publication, distribution, etc. Dordrecht :
Name of publisher, distributor, etc. Springer Netherlands :
-- Imprint: Springer,
Date of publication, distribution, etc. 1993.
300 ## - PHYSICAL DESCRIPTION
Extent XII, 340 p.
Other physical details online resource.
520 ## - SUMMARY, ETC.
Summary, etc. 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.
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Topology.
9 (RLIN) 20291
Topical term or geographic name entry element Functional analysis.
9 (RLIN) 20292
Topical term or geographic name entry element Mathematical optimization.
9 (RLIN) 20293
Topical term or geographic name entry element Topology.
9 (RLIN) 20291
Topical term or geographic name entry element Functional Analysis.
9 (RLIN) 20294
Topical term or geographic name entry element Optimization.
9 (RLIN) 20295
856 ## - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier <a href="https://doi.org/10.1007/978-94-015-8149-3">https://doi.org/10.1007/978-94-015-8149-3</a>
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Koha item type e-Book
Holdings
Withdrawn status Lost status Source of classification or shelving scheme Damaged status Not for loan Home library Current library Shelving location Date acquired Source of acquisition Total Checkouts Full call number Barcode Date last seen Price effective from Koha item type
    Dewey Decimal Classification     S. R. Ranganathan Learning Hub S. R. Ranganathan Learning Hub Online 2023-07-05 Infokart India Pvt. Ltd., New Delhi   514 EB1494 2023-07-05 2023-07-05 e-Book