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＜電子ブック＞
Pseudocompact Topological Spaces : A Survey of Classic and New Results with Open Problems / edited by Michael Hrušák, Ángel Tamariz-Mascarúa, Mikhail Tkachenko
(Developments in Mathematics. ISSN:2197795X ; 55)

版	1st ed. 2018.
出版者	(Cham : Springer International Publishing : Imprint: Springer)
出版年	2018
大きさ	XIII, 299 p : online resource
著者標目	Hrušák, Michael editor Tamariz-Mascarúa, Ángel editor Tkachenko, Mikhail editor SpringerLink (Online service)
件　名	LCSH:Topology LCSH:Topological groups LCSH:Lie groups FREE:Topology FREE:Topological Groups and Lie Groups
一般注記	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 Mrówka-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 HTTP:URL=https://doi.org/10.1007/978-3-319-91680-4

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