Read e-book online Continuous Lattices and Domains (Encyclopedia of Mathematics PDF

By G. Gierz,K. H. Hofmann,K. Keimel,J. D. Lawson,M. Mislove,D. S. Scott

ISBN-10: 0521803381

ISBN-13: 9780521803380

details content material and programming semantics are only of the functions of the mathematical suggestions of order, continuity and domain names. The authors boost the mathematical foundations of in part ordered units with completeness houses of assorted levels, particularly directed entire ordered units and entire lattices. Uniquely, they concentrate on partly ordered units that experience an additional order relation, modelling the thought that one point 'finitely approximates' one other, whatever heavily regarding intrinsic topologies linking order and topology. vast use is made from topological rules, either by means of defining worthwhile topologies at the buildings themselves and through constructing shut connections with quite a few elements of topology. the speculation so constructed not just has functions to machine technological know-how but additionally inside of arithmetic to such components as research, the spectral thought of algebras and the idea of computability. This authoritative, entire account of the topic can be crucial for all these operating within the area.

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Continuous Lattices and Domains (Encyclopedia of Mathematics and its Applications) by G. Gierz,K. H. Hofmann,K. Keimel,J. D. Lawson,M. Mislove,D. S. Scott


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