Continuous Lattices and Domains 2024 pdf epub mobi 电子书

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Continuous Lattices and Domains 2024 pdf epub mobi 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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发表于2024-12-23

Continuous Lattices and Domains 2024 pdf epub mobi 电子书

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出版者:Cambridge University Press

作者:G. Gierz

出品人:

页数:207

译者:

出版时间:2003-4-21

价格:$73.22

装帧:Hardcover

isbn号码:9780521803380

丛书系列:Encyclopedia of Mathematics and its Applications

图书标签: 连续格理论计算机拓扑序论

Continuous Lattices and Domains 2024 pdf epub mobi 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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