Pseudocompact Topological Spaces by Michael Hrusk

Pseudocompact Topological Spaces by Michael Hrusk

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Summary

This book, intended for postgraduate students and researchers, presents many results of historical importance on pseudocompact spaces.

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Pseudocompact Topological Spaces by Michael Hrusk

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.
Michael Hrušák 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.
SKU Unavailable
ISBN 13 9783319916798
ISBN 10 3319916793
Title Pseudocompact Topological Spaces
Author Michael Hrušák
Series Developments In Mathematics
Condition Unavailable
Binding Type Hardback
Publisher Springer International Publishing AG
Year published 2018-07-31
Number of pages 299
Cover note Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
Note Unavailable