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Pseudocompact topological spaces = a survey of classic and new results with open problems /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Pseudocompact topological spaces/ edited by Michael Hrusak, Angel Tamariz-Mascarua, Mikhail Tkachenko.
Reminder of title:	a survey of classic and new results with open problems /
other author:	Hrusak, Michael.
Published:	Cham :Springer International Publishing : : 2018.,
Description:	xiii, 299 p. :ill., digital ; : 24 cm.;
Contained By:	Springer eBooks
Subject:	Compact spaces. -
Online resource:	http://dx.doi.org/10.1007/978-3-319-91680-4
ISBN:	9783319916804

Pseudocompact topological spaces = a survey of classic and new results with open problems /
Pseudocompact topological spacesa survey of classic and new results with open problems /[electronic resource] :edited by Michael Hrusak, Angel Tamariz-Mascarua, Mikhail Tkachenko. - Cham :Springer International Publishing :2018. - xiii, 299 p. :ill., digital ;24 cm. - Developments in mathematics,v.551389-2177 ;. - Developments in mathematics ;v.20..

1. Basic and Classic Results on Pseudocompact Spaces -- 2. Pseudocompact Topological Groups -- 3. Pseudocompactness and Ultrafilters -- 4. Bounded Subsets of Tychonoff Spaces: A Survey of Results and Problems -- 5. Weakly Pseudocompact Spaces -- 6. Maximal Pseudocompact Spaces -- 7. Pseudocompactness in the Realm of Topological Transformation Groups -- 8. Topology of Mrowka-Isbell Spaces.

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: 9783319916804

Standard No.: 10.1007/978-3-319-91680-4doiSubjects--Topical Terms:

890368
Compact spaces.

LC Class. No.: QA611.23 / .P748 2018

Dewey Class. No.: 514.32

Pseudocompact topological spaces = a survey of classic and new results with open problems /
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505 0 $a 1. Basic and Classic Results on Pseudocompact Spaces -- 2. Pseudocompact Topological Groups -- 3. Pseudocompactness and Ultrafilters -- 4. Bounded Subsets of Tychonoff Spaces: A Survey of Results and Problems -- 5. Weakly Pseudocompact Spaces -- 6. Maximal Pseudocompact Spaces -- 7. Pseudocompactness in the Realm of Topological Transformation Groups -- 8. Topology of Mrowka-Isbell Spaces.
520 $a 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.
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