| 书目名称 | Topologies on Closed and Closed Convex Sets | | 编辑 | Gerald Beer | | 视频video | http://file.papertrans.cn/927/926467/926467.mp4 | | 丛书名称 | Mathematics and Its Applications | | 图书封面 |  | | 描述 | This monograph provides an introduction to the theory oftopologies defined on the closed subsets of a metric space, and on theclosed convex subsets of a normed linear space as well. A unifyingtheme is the relationship between topology and set convergence on theone hand, and set functionals on the other. The text includes for thefirst time anywhere an exposition of three topologies that over thepast 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 slicetopology. Particular attention is given to topologies on lowersemicontinuous functions, especially lower semicontinuous convexfunctions, as associated with their epigraphs. The interplay betweenconvex duality and topology is carefully considered and a chapter onset-valued functions is included. The book contains over 350 exercisesand 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. . | | 出版日期 | Book 1993 | | 关键词 | Mathematica; functional analysis; optimization; set; topology | | 版次 | 1 | | doi | https://doi.org/10.1007/978-94-015-8149-3 | | isbn_softcover | 978-90-481-4333-7 | | isbn_ebook | 978-94-015-8149-3 | | copyright | Springer Science+Business Media Dordrecht 1993 |
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