Homology of Locally Semialgebraic Spaces
Locally semialgebraic spaces serve as an appropriate framework for studying the topological properties of varieties and semialgebraic sets over a real closed field. This book contributes to the fundamental theory of semialgebraic topology and falls into two main parts. The first dealswith sheaves an...
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|---|---|
| Format: | Livre numérique |
| Sprog: | Anglais |
| Udgivet: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Serier: | Lecture notes in mathematics
1484 |
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| Online adgang: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
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Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Homology of locally semialgebraic spaces, Hans Delfs, 1991, Berlin, Springer-Verlag, 1 volume (VIII-136 pages), Lecture notes in mathematics, 0-387-54615-4 • Homology of Locally Semialgebraic Spaces, Texte imprimé, 9783662180464 |
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| 041 | 0 | |a eng | |
| 082 | |a 510 | ||
| 100 | 1 | |a Delfs, Hans. | |
| 245 | 1 | 0 | |a Homology of Locally Semialgebraic Spaces |c Hans Delfs. |
| 260 | |a Berlin [etc.] : |b Springer. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture notes in mathematics |v 1484 |x 1617-9692 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a Abstract locally semialgebraic spaces -- Sheaf theory on locally semialgebraic spaces -- Semialgebraic Borel-Moore-homology -- Some intersection theory. | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a Locally semialgebraic spaces serve as an appropriate framework for studying the topological properties of varieties and semialgebraic sets over a real closed field. This book contributes to the fundamental theory of semialgebraic topology and falls into two main parts. The first dealswith sheaves and their cohomology on spaces which locally look like a constructible subset of a real spectrum. Topics like families of support, homotopy, acyclic sheaves, base-change theorems and cohomological dimension are considered. In the second part a homology theory for locally complete locally semialgebraic spaces over a real closed field is developed, the semialgebraic analogue of classical Bore-Moore-homology. Topics include fundamental classes of manifolds and varieties, Poincare duality, extensions of the base field and a comparison with the classical theory. Applying semialgebraic Borel-Moore-homology, a semialgebraic ("topological") approach to intersection theory on varieties over an algebraically closed field of characteristic zero is given. The book is addressed to researchers and advanced students in real algebraic geometry and related areas. | ||
| 650 | |a Topologie | ||
| 650 | |a Géométrie algébrique | ||
| 650 | |a Espaces algébriques | ||
| 650 | |a Homologie | ||
| 776 | 0 | |0 022231013 |t Homology of locally semialgebraic spaces |f Hans Delfs |d 1991 |c Berlin |n Springer-Verlag |p 1 volume (VIII-136 pages) |s Lecture notes in mathematics |z 0-387-54615-4 | |
| 776 | 0 | |t Homology of Locally Semialgebraic Spaces |b Texte imprimé |z 9783662180464 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/BFb0093939 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-7HXNBRC6-V |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:75066066X |u https://ezproxy.univ-orleans.fr/login?url=https://doi.org/10.1007/BFb0093939 |z Accès Université d'Orléans | |
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