1991, ISBN: 3540546154

[EAN: 9783540546153], Neubuch, [SC: 14.99], [PU: Springer Berlin Heidelberg], ALGEBRAICTOPOLOGY; COHOMOTOPY; REALVARIETIES; SEMIALGEBRAICTOPOLOGY; SHEAFTHEORY, Druck auf Anfrage Neuware -… More...

[EAN: 9783540546153], Neubuch, [SC: 14.99], [PU: Springer Berlin Heidelberg], ALGEBRAICTOPOLOGY; COHOMOTOPY; REALVARIETIES; SEMIALGEBRAICTOPOLOGY; SHEAFTHEORY, Druck auf Anfrage Neuware - Printed after ordering - 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. 148 pp. Englisch, Books<

ISBN: 9783540546153

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 … More...

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. New Textbooks>Trade Paperback>Science>Mathematics>Mathematics, Springer Berlin Heidelberg Core >1 >T<

1991, ISBN: 3540546154

[EAN: 9783540546153], Neubuch, [PU: Springer Berlin Heidelberg], ALGEBRAICTOPOLOGY COHOMOTOPY REALVARIETIES SEMIALGEBRAICTOPOLOGY SHEAFTHEORY MATHEMATIK ARITHMETIK ALGEBRA ALGEBRAIC TOPOL… More...

[EAN: 9783540546153], Neubuch, [PU: Springer Berlin Heidelberg], ALGEBRAICTOPOLOGY COHOMOTOPY REALVARIETIES SEMIALGEBRAICTOPOLOGY SHEAFTHEORY MATHEMATIK ARITHMETIK ALGEBRA ALGEBRAIC TOPOLOGY COHOMOLOGY HOMOTOPY HOMOLOGY REAL VARIETIES SEMIALGEBRAIC SHEAF THEORY MATHEMATISCHE GRUNDLAGEN, Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. 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 fal., Books<

ISBN: 9783540546153

*Homology of Locally Semialgebraic Spaces* - Auflage 1991 / Taschenbuch für 26.49 € / Aus dem Bereich: Bücher, Wissenschaft, Mathematik Medien > Bücher nein Buch (kartoniert) Hardcover;Na… More...

*Homology of Locally Semialgebraic Spaces* - Auflage 1991 / Taschenbuch für 26.49 € / Aus dem Bereich: Bücher, Wissenschaft, Mathematik Medien > Bücher nein Buch (kartoniert) Hardcover;Naturwissenschaften, Medizin, Informatik, Technik;Arithmetik, Algebra, Springer Berlin Heidelberg<