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 |