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Titlebook: Frames and Locales; Topology without poi Jorge Picado,Aleš Pultr Book 2012 Springer Basel AG 2012 Categorical topology.Lattice theory.Order

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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Titlebook: Frames and Locales; Topology without poi Jorge Picado,Aleš Pultr Book 2012 Springer Basel AG 2012 Categorical topology.Lattice theory.Order
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
doihttps://doi.org/10.1007/978-3-0348-0154-6
isbn_softcover978-3-0348-0153-9
isbn_ebook978-3-0348-0154-6Series ISSN 1660-8046 Series E-ISSN 1660-8054
issn_series 1660-8046
copyrightSpringer Basel AG 2012
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