Semi-algebraic Function Rings and Reflectors of Partially Ordered Rings
The book lays algebraic foundations for real geometry through a systematic investigation of partially ordered rings of semi-algebraic functions. Real spectra serve as primary geometric objects, the maps between them are determined by rings of functions associated with the spectra. The many different...
Enregistré dans:
| Auteurs principaux: | , |
|---|---|
| Format: | Livre numérique |
| Sprog: | Anglais |
| Udgivet: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Serier: | Lecture notes in mathematics
1712 |
| Fag: | |
| Online adgang: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Kommentar: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Semi-algebraic function rings and reflectors of partially ordered rings, Niels Schwartz, James J. Madden, 1999, Berlin, Springer, 1 vol. (X-279 p.), Lecture notes in mathematics, 3-540-66460-2 • Semi-algebraic Function Rings and Reflectors of Partially Ordered Rings, Texte imprimé, 9783662192412 |
Indholdsfortegnelse:
- Preordered and partially ordered rings
- Reflective subcategories
- Totally ordered and real closed fields
- Real spectra of preordered rings
- Epimorphisms of reduced porings
- Functions and representable porings
- Semi-algebraic functions
- Comparing reflectors
- Constructing reflectors
- H-closed epireflectors
- Quotient-closed reflectors
- The real closure reflector
- Arities of reflectors and approximations by H-closed reflectors
- Epimorphic extensions of reduced porings
- Essential monoreflectors
- Reflections of totally ordered fields
- von Neumann regular f-rings
- Totally ordered domains
- Reduced f-rings
- Rings of continuous piecewise polynomial functions
- Rings of continuous piecewise rational functions
- Discontinuous semi-algebraic functions
- The lattice of H-closed monoreflectors.