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.
| ISBN: | 9781107146723 |
| Publication date: | 21st March 2019 |
| Author: | M A Dickmann, Niels Schwartz, Marcus Tressl |
| Publisher: | Cambridge University Press |
| Format: | Hardback |
| Pagination: | 650 pages |
| Series: | New Mathematical Monographs |
| Genres: |
Algebraic topology Mathematical logic Algebra |
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.
Spectral Spaces features in the following genres: Algebraic topology, Mathematical logic, Algebra
Spectral Spaces is available in Hardback
Spectral Spaces was written by M A Dickmann, Niels Schwartz, Marcus Tressl and published by Cambridge University Press
Spectral Spaces has 650 pages
Yes it is part of New Mathematical Monographs series
£152.10