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A Compendium of Continuous Lattices by G. Gierz, K. H. Hofmann, K. Keimel - Paperback
413.70 AED

A Compendium of Continuous Lattices by G. Gierz, K. H. Hofmann, K. Keimel - Paperback

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Category Type
Mathematics
ISBN
9783642676802
Author
G. Gierz, K. H. Hofmann, K. Keimel
Publisher
Springer
Description:

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 ...

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PRODUCT INFORMATION

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    Specifications

    Category Type
    Mathematics
    ISBN
    9783642676802
    Languages
    English
    Item EAN
    2724437270284
    People
    Author
    G. Gierz, K. H. Hofmann, K. Keimel
    Category Type
    Mathematics
    ISBN
    9783642676802
    Languages
    English
    Item EAN
    2724437270284
    People
    Author
    G. Gierz, K. H. Hofmann, K. Keimel
    People
    Publisher
    Springer
    Technical Information
    Binding
    Paperback
    Languages and countries
    Book Language
    English
    Read more
  •  

    Description:

    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

    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.

    Product Features:
    • Category: Mathematics
    • Binding: Paperback
    • Language of Text: English
    • Author(s): G. Gierz, K. H. Hofmann, K. Keimel
    • Publisher: Springer
    • ISBN: 9783642676802
    • Number of Pages: 371
    • Dimensions: 9.61 x 6.69 x 0.82 inches
 

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