书目名称 | Frames and Locales | 副标题 | Topology without poi | 编辑 | Jorge Picado,Aleš Pultr | 视频video | | 概述 | First monograph in this area in more than two decades.Most of the material has not yet been published in book form, particularly the part devoted to the enriched structures.Suitable for advanced cours | 丛书名称 | Frontiers in Mathematics | 图书封面 |  | 描述 | .Until the mid-twentieth century, topological studies were focused on the theory of suitable structures on sets of points. The concept of open set exploited since the twenties offered an expression of the geometric intuition of a "realistic" place (spot, grain) of non-trivial extent..Imitating the behaviour of open sets and their relations led to a new approach to topology flourishing since the end of the fifties.It has proved to be beneficial in many respects. Neglecting points, only little information was lost, while deeper insights have been gained; moreover, many results previously dependent on choice principles became constructive. The result is often a smoother, rather than a more entangled, theory..No monograph of this nature has appeared since Johnstone‘s celebrated .Stone Spaces. in 1983. The present book is intended as a bridge from that time to the present. Most of the material appears here in book form for the first time or is presented from new points of view. Two appendices provide an introduction to some requisite concepts from order and category theories.. | 出版日期 | Book 2012 | 关键词 | Categorical topology; Lattice theory; Order theory | 版次 | 1 | doi | https://doi.org/10.1007/978-3-0348-0154-6 | isbn_softcover | 978-3-0348-0153-9 | isbn_ebook | 978-3-0348-0154-6Series ISSN 1660-8046 Series E-ISSN 1660-8054 | issn_series | 1660-8046 | copyright | Springer Basel AG 2012 |
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