Spectral Spaces, 9781107146723
Hardcover
This first monograph on spectral spaces will be useful for graduates and researchers in mathematics and theoretical computer science who want to connect algebra and logic with geometric concepts. It is a systematic introduction and at the same time a reference source that leads up to the frontiers of current research.

$403.52

  • Hardcover

    650 pages

  • Release Date

    21 March 2019

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Summary

Spectral spaces are a class of topological spaces. They are a tool linking algebraic structures, in a very wide sense, with geometry. They were invented to give a functional representation of Boolean algebras and distributive lattices and subsequently gained great prominence as a consequence of Grothendieck’s invention of schemes. There are more than 1,000 research articles about spectral spaces, but this is the first monograph. It provides an introduction to the subject and is a unified trea…

Book Details

ISBN-13:9781107146723
ISBN-10:1107146720
Author:Max Dickmann, Niels Schwartz, Marcus Tressl
Publisher:Cambridge University Press
Imprint:Cambridge University Press
Format:Hardcover
Number of Pages:650
Release Date:21 March 2019
Weight:1.04kg
Dimensions:235mm x 160mm x 40mm
Series:New Mathematical Monographs
What They're Saying

Critics Review

‘… this book is a valuable resource for anyone seriously interested in the theory of spectral spaces and represents a substantial addition to the literature on the subject.’ Jimmie Lawson, New Mathematical Monographs‘The book covers a substantial amount of material that had not been considered before. It also contains material available nowhere else in book form.’ Tomasz Kubiak, Mathematical Reviews Clippings

About The Author

Max Dickmann

Max Dickmann has been a researcher at the Centre National de la Recherche Scientifique (CNRS), Paris, since 1974, Directeur de Recherche since 1988 and emeritus since 2007. His research interests include the applications of spectral spaces to real algebraic geometry, quadratic forms, and related topics. Niels Schwartz is Professor of Mathematics at the Universität Passau, Germany, retired since 2016. Many of his publications are concerned with, or use, spectral spaces in essential ways. In particular, he has used spectral spaces to introduce the notion of real closed rings, an important topic in real algebra and geometry. Marcus Tressl is a mathematician working in the School of Mathematics at the University of Manchester. His research interests include model theory, ordered algebraic structures, ring theory, differential algebra, and non-Hausdorff topology.

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