书目名称 | Pseudocompact Topological Spaces |
副标题 | A Survey of Classic |
编辑 | Michael Hrušák,Ángel Tamariz-Mascarúa,Mikhail Tkac |
视频video | |
概述 | 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.Appro |
丛书名称 | Developments in Mathematics |
图书封面 |  |
描述 | .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.. |
出版日期 | Book 2018 |
关键词 | Pseudocompact space; Countably compact; Topological group; Compactification; Spaces of continuous functi |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-319-91680-4 |
isbn_softcover | 978-3-030-06278-1 |
isbn_ebook | 978-3-319-91680-4Series ISSN 1389-2177 Series E-ISSN 2197-795X |
issn_series | 1389-2177 |
copyright | Springer International Publishing AG, part of Springer Nature 2018 |