Pseudocompact Topological Spaces

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A Survey of Classic and New Results with Open Problems, Developments in Mathematics 55

ISBN: 3319916793
ISBN 13: 9783319916798
Herausgeber: Michael Hrusák/Ángel Tamariz-Mascarúa/Mikhail Tkachenko
Verlag: Springer Verlag GmbH
Umfang: xiii, 299 S.
Erscheinungsdatum: 31.07.2018
Auflage: 1/2018
Produktform: Gebunden/Hardback
Einband: GEB

This book, intended for postgraduate students and researchers, presents many results of historical importance on pseudocompact spaces. In 1948, E. Hewitt introduced the concept of pseudocompactness which generalizes a property of compact subsets of the real line. A topological space is pseudocompact if the range of any real-valued, continuous function defined on the space is a bounded subset of the real line. Pseudocompact spaces constitute a natural and fundamental class of objects in General Topology and research into their properties has important repercussions in diverse branches of Mathematics, such as Functional Analysis, Dynamical Systems, Set Theory and Topological-Algebraic structures. The collection of authors of this volume include pioneers in their fields who have written a comprehensive explanation on this subject. In addition, the text examines new lines of research that have been at the forefront of mathematics. There is, as yet, no text that systematically compiles and develops the extensive theory of pseudocompact spaces, making this book an essential asset for anyone in the field of topology.

Artikelnummer: 4993521 Kategorie:

Beschreibung

Autorenporträt

Michael Hrusák is a Professor at the Instituto de Matemáticas at the Universidad Nacional Autónoma de México. His main area of research is set theory and its applications in topolgy, topological groups, and real anaysis.

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