Articles liés à Homology of Locally Semialgebraic Spaces

Homology of Locally Semialgebraic Spaces - Couverture souple

Delfs, Hans

 
9783540546153: Homology of Locally Semialgebraic Spaces
Couverture souple
ISBN 10 : 3540546154 ISBN 13 : 9783540546153
Editeur : Springer Berlin Heidelberg, 2010

Synopsis

Locally semialgebraic spaces serve as an appropriateframework for studying the topological properties ofvarieties and semialgebraic sets over a real closed field.This book contributes to the fundamental theory ofsemialgebraic topology and falls into two main parts.The first dealswith sheaves and their cohomology on spaceswhich locally look like a constructible subset of a realspectrum. Topics like families of support, homotopy, acyclicsheaves, base-change theorems and cohomological dimensionare considered.In the second part a homology theory for locally completelocally semialgebraic spaces over a real closed field isdeveloped, the semialgebraic analogue of classicalBore-Moore-homology. Topics include fundamental classes ofmanifolds and varieties, Poincare duality, extensions of thebase field and a comparison with the classical theory.Applying semialgebraic Borel-Moore-homology, a semialgebraic("topological") approach to intersection theory on varietiesover an algebraically closed field of characteristic zero isgiven. The book is addressed to researchers and advancedstudents in real algebraic geometry and related areas.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

À propos de l'auteur

Prof. Dr. Hans Delfs is a member of the Dept. of Computer Science at the Technische Hochschule Nürnberg Georg Simon Ohm. His research and teaching interests include cryptography and information security, database design, and software architectures. Prof. Dr. Helmut Knebl is a member of the Dept. of Computer Science at the Technische Hochschule Nürnberg Georg Simon Ohm. His research and teaching interests include cryptography and information security, algorithms, and theoretical computer science.

À propos de la quatrième de couverture

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.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Springer Berlin Heidelberg
Date d'édition
2010
Langue
anglais
ISBN 10 
3540546154
ISBN 13 
9783540546153
Reliure
Broché
Nombre de pages
145
Coordonnées du fabricant
non disponible
Personne responsable
non disponible