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Pseudocompact Topological Spaces

A Survey of Classic and New Results with Open Problems

Michael Hrušák editor Ángel Tamariz-Mascarúa editor Mikhail Tkachenko editor

Format:Hardback

Publisher:Springer International Publishing AG

Published:31st Jul '18

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Pseudocompact Topological Spaces cover

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.

ISBN: 9783319916798

Dimensions: unknown

Weight: unknown

299 pages

1st ed. 2018