Offers a comprehensive presentation of spectral spaces focussing on their topology and close connections with algebra, ordered structures, and logic.Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.
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.
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.
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