书目名称 | Dimension Theory |
副标题 | A Selection of Theor |
编辑 | Michael G. Charalambous |
视频video | |
概述 | Presupposed topological definitions and facts are carefully recalled.Includes numerous exercises proving presupposed facts.Includes numerous exercises of further interest.Helpful hints accompany exerc |
丛书名称 | Atlantis Studies in Mathematics |
图书封面 |  |
描述 | This book covers the fundamental results of the dimension theory of metrizable spaces, especially in the separable case. Its distinctive feature is the emphasis on the negative results for more general spaces, presenting a readable account of numerous counterexamples to well-known conjectures that have not been discussed in existing books. Moreover, it includes three new general methods for constructing spaces: Mrowka‘s psi-spaces, van Douwen‘s technique of assigning limit points to carefully selected sequences, and Fedorchuk‘s method of resolutions.. . Accessible to readers familiar with the standard facts of general topology, the book is written in a reader-friendly style suitable for self-study. It contains enough material for one or more graduate courses in dimension theory and/or general topology. More than half of the contents do not appear in existing books, making it also a good reference for libraries and researchers.. |
出版日期 | Book 2019 |
关键词 | covering dimension; inductive dimension; metric spaces; normal spaces; perfectly normal spaces; Tychonoff |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-030-22232-1 |
isbn_softcover | 978-3-030-22234-5 |
isbn_ebook | 978-3-030-22232-1Series ISSN 1875-7634 Series E-ISSN 2215-1885 |
issn_series | 1875-7634 |
copyright | Springer Nature Switzerland AG 2019 |