Continuous Selections of Multivalued Mappings
By: by Dušan Repovš, Pavel Vladimirovič Semenov
Contributors: Semenov, Pavel Vladimirovič
Series: Mathematics and Its Applications -- 455; Mathematics and Its Applications -- 455
Publisher: Springer Netherlands
Published: 1998
Place of publication: Dordrecht
Language: eng
Format: [electronic resource] /
Number of pages: 359
ISBN-13: 9789048151110; 9789401711623
Subjects: Cell aggregation; Discrete groups; Functional analysis; Mathematics; Global analysis; Topology
Description: This book is the first systematic and comprehensive study of the theory of continuous selections of multivalued mappings. This interesting branch of modern topology was introduced by E.A. Michael in the 1950s and has since witnessed an intensive development with various applications outside topology, e.g. in geometry of Banach spaces, manifolds theory, convex sets, fixed points theory, differential inclusions, optimal control, approximation theory, and mathematical economics. The work can be used in different ways: the first part is an exposition of the basic theory, with details. The second part is a comprehensive survey of the main results. Lastly, the third part collects various kinds of applications of the theory. Audience: This volume will be of interest to graduate students and research mathematicians whose work involves general topology, convex sets and related geometric topics, functional analysis, global analysis, analysis on manifolds, manifolds and cell complexes, and mathematical economics.
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