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Pseudocompact topological spaces = a...

Hrusak, Michael.

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

Record Type:	Electronic resources : 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.
[NT 15003449]:	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.
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.55..

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:

1568159
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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245 0 0 $a Pseudocompact topological spaces $h [electronic resource] : $b a survey of classic and new results with open problems / $c edited by Michael Hrusak, Angel Tamariz-Mascarua, Mikhail Tkachenko.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2018.
300 $a xiii, 299 p. : $b ill., digital ; $c 24 cm.
490 1 $a Developments in mathematics, $x 1389-2177 ; $v v.55
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.
650 0 $a Compact spaces. $3 1568159
650 0 $a Topological spaces. $3 523744
650 1 4 $a Mathematics. $3 515831
650 2 4 $a Topology. $3 522026
650 2 4 $a Topological Groups, Lie Groups. $3 891005
700 1 $a Hrusak, Michael. $3 3338835
700 1 $a Tamariz-Mascarua, Angel. $3 3338836
700 1 $a Tkachenko, Mikhail. $3 931920
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer eBooks
830 0 $a Developments in mathematics ; $v v.55. $3 3338837
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-91680-4
950 $a Mathematics and Statistics (Springer-11649)