Spectral Spaces
eBook - PDF

Spectral Spaces

  1. English
  2. PDF
  3. Available on iOS & Android
eBook - PDF

About this book

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 treatment of results scattered across the literature, filling in gaps and showing the connections between different results. The book includes new research going beyond the existing literature, answering questions that naturally arise from this comprehensive approach. The authors serve graduates by starting gently with the basics. For experts, they lead them to the frontiers of current research, making this book a valuable reference source.

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Yes, you can access Spectral Spaces by Max Dickmann,Niels Schwartz,Marcus Tressl in PDF and/or ePUB format, as well as other popular books in Mathematics & Topology. We have over one million books available in our catalogue for you to explore.

Information

Table of contents

  1. Cover
  2. Half-title
  3. Series information
  4. Title page
  5. Copyright information
  6. Contents
  7. Preface
  8. An Outline of the History of Spectral Spaces
  9. 1 Spectral Spaces and Spectral Maps
  10. 2 Basic Constructions
  11. 3 Stone Duality
  12. 4 Subsets of Spectral Spaces
  13. 5 Properties of Spectral Maps
  14. 6 Quotient Constructions
  15. 7 Scott Topology and Coarse Lower Topology
  16. 8 Special Classes of Spectral Spaces
  17. 9 Localic Spaces
  18. 10 Colimits in Spec
  19. 11 Relations of Spec with Other Categories
  20. 12 The Zariski Spectrum
  21. 13 The Real Spectrum
  22. 14 Spectral Spaces via Model Theory
  23. Appendix: The Poset Zoo
  24. References
  25. Index of Categories and Functors
  26. Index of Examples
  27. Symbol Index
  28. Subject Index