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Inhaltsangabe
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 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.
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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 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.
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A compendium of continuous lattices G. Gierz.
Anbieter: Antiquariat Bookfarm, Löbnitz, Deutschland
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Hardcover. Ex-library with stamp and library-signature. GOOD condition, some traces of use. Ancien Exemplaire de bibliothèque avec signature et cachet. BON état, quelques traces d'usure. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. 06 COM 9783540101116 Sprache: Englisch Gewicht in Gramm: 550. Bestandsnummer des Verkäufers 2501479
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A compendium of continuous lattices.
Verlag:
Berlin/Heidelberg/New York, Springer., 1980
ISBN 10: 354010111X
ISBN 13: 9783540101116
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Hardcover
Anbieter: Antiquariat Kai Groß, Gleichen OT Bischhausen, Deutschland
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4°. XX, 371 S., graph. Darst., Ln. 2, Einband berieben. Bestandsnummer des Verkäufers 96876BB
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Beispielbild für diese ISBN
A compendium of continuous lattices.
Verlag:
Berlin/Heidelberg/New York, Springer., 1980
ISBN 10: 354010111X
ISBN 13: 9783540101116
Gebraucht
Hardcover
Anbieter: Antiquariat Kai Groß, Gleichen OT Bischhausen, Deutschland
Verkäuferbewertung 5 von 5 Sternen
4°. XX, 371 S., graph. Darst., Ln. 2. Bestandsnummer des Verkäufers 96888BB
Anzahl: 1 verfügbar