USCO and Quasicontinuous Mappings

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De Gruyter Studies in Mathematics 81

ISBN: 3110750155
ISBN 13: 9783110750157
Autor: Holá, Lubica/Holý, Dusan/Moors, Warren
Verlag: De Gruyter GmbH
Umfang: VIII, 298 S.
Erscheinungsdatum: 25.10.2021
Auflage: 1/2021
Produktform: Gebunden/Hardback
Einband: GEB

The series is devoted to the publication of monographs and high-level textbooks in mathematics, mathematical methods and their applications. Apart from covering important areas of current interest, a major aim is to make topics of an interdisciplinary nature accessible to the non-specialist. The works in this series are addressed to advanced students and researchers in mathematics and theoretical physics. In addition, it can serve as a guide for lectures and seminars on a graduate level. The series de Gruyter Studies in Mathematics was founded ca. 30 years ago by the late Professor Heinz Bauer and Professor Peter Gabriel with the aim to establish a series of monographs and textbooks of high standard, written by scholars with an international reputation presenting current fields of research in pure and applied mathematics. While the editorial board of the Studies has changed with the years, the aspirations of the Studies are unchanged. In times of rapid growth of mathematical knowledge carefully written monographs and textbooks written by experts are needed more than ever, not least to pave the way for the next generation of mathematicians. In this sense the editorial board and the publisher of the Studies are devoted to continue the Studies as a service to the mathematical community. Please submit any book proposals to Niels Jacob.

Artikelnummer: 2507456 Kategorie:

Beschreibung

This book presents two natural generalizations of continuous mappings, namely usco and quasicontinuous mappings. The first class considers set-valued mappings, the second class relaxes the definition of continuity. Both these topological concepts stem naturally from basic mathematical considerations and have numerous applications that are covered in detail.

Autorenporträt

Lubica Holá, Slovak Academy of Sciences, Slovakia; Dusan Holý, Univ of Trnava, Slovakia; Warren Moors, Univ of Auckland, New Zealand.

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