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.
Continuous Lattices and Domains Free Download
April 21, 2022
You may also like
This book offers the reader an overview of recent developments of integral equations on time scales. It also contains elegant analytical and numerical methods...
ANALYSICS MATHEMATICS
Measure and Integral An Introduction to Real Analysis 2nd Edition by Richard L. Wheeden PDF
October 10, 2023
Now considered a classic text on the topic, Measure and Integral: An Introduction to Real Analysis provides an introduction to real analysis by first...
ANALYSICS MATHEMATICS
Qualitative Analysis of Nonlinear Elliptic Partial Differential Equations by Vicentiu Radulescu PDF
September 29, 2023
The book provides a comprehensive introduction to the mathematical theory of nonlinear problems described by elliptic partial differential equations. These...
Recent Posts
- Algebra 3 Homological Algebra and Its Applications by Ramji Lal PDF
- Heat Transfer Physics 2nd Edition By Massoud Kaviany PDF
- Lavin’s Radiography for Veterinary Technicians, 6th Edition by Marg Brown PDF
- Principles of Physics, 10th Edition by David Halliday PDF
- The Dog Behavior Problem Solver by Teoti Anderson PDF
Add Comment