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G. Gierz 作者

Cambridge University Press

译者

2003-4-21 出版日期

207 页数

$73.22 价格

Hardcover

Encyclopedia of Mathematics and its Applications 丛书系列

9780521803380 图书编码

Continuous Lattices and Domains 在线电子书图书标签: 连续格理论计算机拓扑序论

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Continuous Lattices and Domains 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

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Continuous Lattices and Domains 在线电子书著者简介

G. Gierz

University of California, Riverside

K. H. Hofmann

Technische Universität, Darmstadt, Germany

K. Keimel

Technische Universität, Darmstadt, Germany

J. D. Lawson

Louisiana State University

M. Mislove

Tulane University, Louisiana

D. S. Scott

Carnegie Mellon University, Pennsylvania

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Continuous Lattices and Domains 在线电子书 pdf 下载 txt下载 epub 下载 mobi 在线电子书下载

Continuous Lattices and Domains 在线电子书图书描述

Information content and programming semantics are just two of the applications of the mathematical concepts of order, continuity and domains. The authors develop the mathematical foundations of partially ordered sets with completeness properties of various degrees, in particular directed complete ordered sets and complete lattices. Uniquely, they focus on partially ordered sets that have an extra order relation, modelling the notion that one element 'finitely approximates' another, something closely related to intrinsic topologies linking order and topology. Extensive use is made of topological ideas, both by defining useful topologies on the structures themselves and by developing close connections with numerous aspects of topology. The theory so developed not only has applications to computer science but also within mathematics to such areas as analysis, the spectral theory of algebras and the theory of computability. This authoritative, comprehensive account of the subject will be essential for all those working in the area.

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