Overview
- Presents many useful results and new notions that cannot be found in existing books and are difficult (or impossible) to find in journal articles
- Gives special attention to new lines of research
- Appropriate level for postgraduate students or researchers in general (or set-theoretic) topology
- Written in a style that is easy to read for both students and experienced researchers in this area
- Focuses on topological groups and their generalizations, a subject in which there has been a lot of activity the last decades
Part of the book series: Developments in Mathematics (DEVM, volume 55)
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Table of contents (8 chapters)
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Front Matter
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Back Matter
Keywords
About this book
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.
Editors and Affiliations
About the editors
Bibliographic Information
Book Title: Pseudocompact Topological Spaces
Book Subtitle: A Survey of Classic and New Results with Open Problems
Editors: Michael Hrušák, Ángel Tamariz-Mascarúa, Mikhail Tkachenko
Series Title: Developments in Mathematics
DOI: https://doi.org/10.1007/978-3-319-91680-4
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing AG, part of Springer Nature 2018
Hardcover ISBN: 978-3-319-91679-8Published: 31 July 2018
Softcover ISBN: 978-3-030-06278-1Published: 04 January 2019
eBook ISBN: 978-3-319-91680-4Published: 19 July 2018
Series ISSN: 1389-2177
Series E-ISSN: 2197-795X
Edition Number: 1
Number of Pages: XIII, 299
Topics: Topology, Topological Groups, Lie Groups