Max Dickmann, Niels Schwartz, Marcus Tressl

Spectral Spaces

• Gebundenes Buch

Produktbeschreibung

Offers a comprehensive presentation of spectral spaces focussing on their topology and close connections with algebra, ordered structures, and logic.

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Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 652
• Erscheinungstermin: 21. März 2019
• Englisch
• Abmessung: 235mm x 157mm x 42mm
• Gewicht: 1196g
• ISBN-13: 9781107146723
• ISBN-10: 1107146720
• Artikelnr.: 53484506

Autorenporträt

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.

Inhaltsangabe

Outline of the history of spectral spaces
1. Spectral spaces and spectral maps
2. Basic constructions
3. Stone duality
4. Subsets of spectral spaces
5. Properties of spectral maps
6. Quotient constructions
7. Scott topology and coarse lower topology
8. Special classes of spectral spaces
9. Localic spaces
10. Colimits in Spec
11. Relations of Spec with other categories
12. The Zariski spectrum
13. The real spectrum
14. Spectral spaces via model theory
Appendix. The poset zoo
References
Index of categories and functors
Index of examples
Symbol index
Subject index.