| 书目名称 | Separation in Point-Free Topology | | 编辑 | Jorge Picado,Aleš Pultr | | 视频video | | | 概述 | Concentrates on separation axioms in localic topology.Provides an in-depth discussion on axioms of Hausdorff‘s type.Written in a pleasant style | | 图书封面 |  | | 描述 | .This book is the first systematic treatment of this area so far scattered in a vast number of articles. As in classical topology, concrete problems require restricting the (generalized point-free) spaces by various conditions playing the roles of classical separation axioms. These are typically formulated in the language of points; but in the point-free context one has either suitable translations, parallels, or satisfactory replacements. The interrelations of separation type conditions, their merits, advantages and disadvantages, and consequences are discussed. ..Highlights of the book include a treatment of the merits and consequences of subfitness, various approaches to the Hausdorff‘s axiom, and normality type axioms. Global treatment of the separation conditions put them in a new perspective, and, a.o., gave some of them unexpected importance. The text contains a lot of quite recent results; the reader will see the directions the area is taking, and may find inspirationfor her/his further work..The book will be of use for researchers already active in the area, but also for those interested in this growing field (sometimes even penetrating into some parts of theoretical compu | | 出版日期 | Book 2021 | | 关键词 | frames; point-free topology; locales; sublocales; Heyting algebras; separation axioms | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-030-53479-0 | | isbn_softcover | 978-3-030-53481-3 | | isbn_ebook | 978-3-030-53479-0 | | copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
The information of publication is updating
|
|
发表于 2025-3-21 17:50:52
