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A Compendium of Continuous Lattices
Gierz G. and K.H. Hofmann & K. Keimel & J.D. Lawson & M. Mislove & D.S. Scott
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Taschenbuch. Condizione: Neu. Druck auf Anfrage Neuware - Printed after ordering - Notational remarks.- Basic definitions.- Full bundles and bundles with completely regular base space.- Bundles with locally paracompact base spaces.- Stone ¿ Weierstra¿theorems for bundles.- An alternative description of spaces of sections: Functi…on modules.- Some algebraic aspects of -spaces.- A third description of spaces of sections: C(X)-convex modules.- C(X)-submodules of (p).- Quotients of bundles and C(X)-modules.- Morphisms between bundles.- Bundles of operators.- Excursion: Continuous lattices and bundles.- M-structure and bundles.- An adequate M-theory for -spaces.- Duality.- The closure of the 'unit ball' of a bundle and separation axioms.- Locally trivial bundles: A definition.- Local linear independence.- The space Mod( (p),C(X)).- Internal duality of C(X)-modules.- The dual space (p)' of a space of sections.
A Compendium of Continuous Lattices
Gierz, G.; Hofmann, K. H.; Keimel, K.; Lawson, J. D.; Mislove, M.; Scott, D. S.
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Condizione: Sehr gut. Zustand: Sehr gut | Seiten: 304 | Sprache: Englisch | Produktart: Bücher | Notational remarks.- Basic definitions.- Full bundles and bundles with completely regular base space.- Bundles with locally paracompact base spaces.- Stone ¿ Weierstra¿theorems for bundles.- An alternative description of spaces of se…ctions: Function modules.- Some algebraic aspects of ?-spaces.- A third description of spaces of sections: C(X)-convex modules.- C(X)-submodules of ?(p).- Quotients of bundles and C(X)-modules.- Morphisms between bundles.- Bundles of operators.- Excursion: Continuous lattices and bundles.- M-structure and bundles.- An adequate M-theory for ?-spaces.- Duality.- The closure of the "unit ball" of a bundle and separation axioms.- Locally trivial bundles: A definition.- Local linear independence.- The space Mod(?(p),C(X)).- Internal duality of C(X)-modules.- The dual space ?(p)' of a space of sections.
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Taschenbuch. Condizione: Neu. Druck auf Anfrage Neuware - Printed after ordering - A mathematics book with six authors is perhaps a rare enough occurrence to make a reader ask how such a collaboration came about. We begin, therefore, with a few words on how we were brought to the subject over a ten-year period, during part of wh…ich time we did not all know each other. We do not intend to write here the history of continuous lattices but rather to explain our own personal involvement. History in a more proper sense is provided by the bibliography and the notes following the sections of the book, as well as by many remarks in the text. A coherent discussion of the content and motivation of the whole study is reserved for the introduction. In October of 1969 Dana Scott was lead by problems of semantics for computer languages to consider more closely partially ordered structures of function spaces. The idea of using partial orderings to correspond to spaces of partially defined functions and functionals had appeared several times earlier in recursive function theory; however, there had not been very sustained interest in structures of continuous functionals. These were the ones Scott saw that he needed. His first insight was to see that - in more modern terminology - the category of algebraic lattices and the (so-called) Scott-continuous functions is cartesian closed.
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Continuous Lattices and Domains (Encyclopedia of Mathematics and its Applications, Series Number 93)
Gierz, G.; Hofmann, K. H.; Keimel, K.; Lawson, J. D.; Mislove, M.; Scott, D. S.
Lingua: Inglese
Editore: Cambridge University Press, 2003
Serie: Libro 81 di 188 - Encyclopedia of Mathematics and its Applications
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Continuous Lattices and Domains (Encyclopedia of Mathematics and its Applications, Series Number 93)
Gierz, G.; Hofmann, K. H.; Keimel, K.; Lawson, J. D.; Mislove, M.; Scott, D. S.
Lingua: Inglese
Editore: Cambridge University Press, 2003
Serie: Libro 81 di 188 - Encyclopedia of Mathematics and its Applications
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Condizione: New. Authoritative and comprehensive account; an essential handbook for all those working in the area. Series: Encyclopedia of Mathematics and Its Applications. Num Pages: 628 pages, Illustrations. BIC Classification: PBCD; PBF; PBP. Category: (P) Professional & Vocational. Dimension: 234 x 156 x 38. Weight in Grams:… 957. . 2003. Hardcover. . . . .
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Serie: Libro 81 di 188 - Encyclopedia of Mathematics and its Applications
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Condizione: New. Authoritative and comprehensive account; an essential handbook for all those working in the area. Series: Encyclopedia of Mathematics and Its Applications. Num Pages: 628 pages, Illustrations. BIC Classification: PBCD; PBF; PBP. Category: (P) Professional & Vocational. Dimension: 234 x 156 x 38. Weight in Grams:… 957. . 2003. Hardcover. . . . . Books ship from the US and Ireland.
Continuous Lattices and Domains
G. Gierz/ K. H. Hofmann/ K. Keimel/ J. D. Lawson/ M. Mislove/ D. S. Scott
Lingua: Inglese
Editore: Cambridge Univ Pr, 2003
Serie: Libro 81 di 188 - Encyclopedia of Mathematics and its Applications
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Lingua: Inglese
Editore: Cambridge University Press, 2003
Serie: Libro 81 di 188 - Encyclopedia of Mathematics and its Applications
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Da: AHA-BUCH GmbH, Einbeck, GermaniaAHA-BUCH GmbH
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Buch. Condizione: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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 vario…us 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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Taschenbuch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Notational remarks.- Basic definitions.- Full bundles and bundles with completely regular base space.- Bundles with locally paracompact base spaces.- Stone ¿ Weierstra¿theorems for bundles.- An alternative description of spaces of…sections: Function modules.- Some algebraic aspects of -spaces.- A third description of spaces of sections: C(X)-convex modules.- C(X)-submodules of (p).- Quotients of bundles and C(X)-modules.- Morphisms between bundles.- Bundles of operators.- Excursion: Continuous lattices and bundles.- M-structure and bundles.- An adequate M-theory for -spaces.- Duality.- The closure of the 'unit ball' of a bundle and separation axioms.- Locally trivial bundles: A definition.- Local linear independence.- The space Mod( (p),C(X)).- Internal duality of C(X)-modules.- The dual space (p)' of a space of sections. 304 pp. Englisch.
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A Compendium of Continuous Lattices
Gierz, G.; Hofmann, K. H.; Keimel, K.; Lawson, J. D.; Mislove, M.; Scott, D. S.
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Taschenbuch. Condizione: Neu. This item is printed on demand - Print on Demand Titel. Neuware -Notational remarks.- Basic definitions.- Full bundles and bundles with completely regular base space.- Bundles with locally paracompact base spaces.- Stone ¿ Weierstra¿theorems for bundles.- An alternative description of spaces of sect…ions: Function modules.- Some algebraic aspects of -spaces.- A third description of spaces of sections: C(X)-convex modules.- C(X)-submodules of (p).- Quotients of bundles and C(X)-modules.- Morphisms between bundles.- Bundles of operators.- Excursion: Continuous lattices and bundles.- M-structure and bundles.- An adequate M-theory for -spaces.- Duality.- The closure of the 'unit ball' of a bundle and separation axioms.- Locally trivial bundles: A definition.- Local linear independence.- The space Mod( (p),C(X)).- Internal duality of C(X)-modules.- The dual space (p)' of a space of sections.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 304 pp. Englisch.
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Taschenbuch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -A mathematics book with six authors is perhaps a rare enough occurrence to make a reader ask how such a collaboration came about. We begin, therefore, with a few words on how we were brought to the subject over a ten-year period, d…uring part of which time we did not all know each other. We do not intend to write here the history of continuous lattices but rather to explain our own personal involvement. History in a more proper sense is provided by the bibliography and the notes following the sections of the book, as well as by many remarks in the text. A coherent discussion of the content and motivation of the whole study is reserved for the introduction. In October of 1969 Dana Scott was lead by problems of semantics for computer languages to consider more closely partially ordered structures of function spaces. The idea of using partial orderings to correspond to spaces of partially defined functions and functionals had appeared several times earlier in recursive function theory; however, there had not been very sustained interest in structures of continuous functionals. These were the ones Scott saw that he needed. His first insight was to see that - in more modern terminology - the category of algebraic lattices and the (so-called) Scott-continuous functions is cartesian closed. 400 pp. Englisch.
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Taschenbuch. Condizione: Neu. This item is printed on demand - Print on Demand Titel. Neuware -A mathematics book with six authors is perhaps a rare enough occurrence to make a reader ask how such a collaboration came about. We begin, therefore, with a few words on how we were brought to the subject over a ten-year period, durin…g part of which time we did not all know each other. We do not intend to write here the history of continuous lattices but rather to explain our own personal involvement. History in a more proper sense is provided by the bibliography and the notes following the sections of the book, as well as by many remarks in the text. A coherent discussion of the content and motivation of the whole study is reserved for the introduction. In October of 1969 Dana Scott was lead by problems of semantics for computer languages to consider more closely partially ordered structures of function spaces. The idea of using partial orderings to correspond to spaces of partially defined functions and functionals had appeared several times earlier in recursive function theory; however, there had not been very sustained interest in structures of continuous functionals. These were the ones Scott saw that he needed. His first insight was to see that - in more modern terminology - the category of algebraic lattices and the (so-called) Scott-continuous functions is cartesian closed.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 400 pp. Englisch.
Lingua: Inglese
Editore: Cambridge University Press, Cambridge, 2003
Serie: Libro 81 di 188 - Encyclopedia of Mathematics and its Applications
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Hardcover. Condizione: new. Hardcover. 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 co…mplete 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. Information content and programming semantics are just two of the applications of the mathematical concepts of order, continuity and domains. This authoritative and comprehensive account of the subject will be an essential handbook for all those working in the area. This item is printed on demand. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.
