Continuous Lattices and Domains (Encyclopedia of Mathematics and its Applications Book 93)

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Management number 231815828 Release Date 2026/06/18 List Price $57.80 Model Number 231815828
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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. Read more

ASIN B01DM257V4
XRay Not Enabled
Format Print Replica
ISBN13 978-1316695401
Edition 1st
Language English
File size 8.1 MB
Page Flip Not Enabled
Publisher Cambridge University Press
Word Wise Not Enabled
Print length 628 pages
Accessibility Learn more
Part of series Encyclopedia of Mathematics and its Applications
Publication date March 6, 2003
Enhanced typesetting Not Enabled

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