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Homology of Locally Semialgebraic Spaces - Hans Delfs
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Homology of Locally Semialgebraic Spaces - neues Buch

ISBN: 9783540546153

ID: 9783540546153

Homology of Locally Semialgebraic Spaces: Paperback: Springer-Verlag Berlin and Heidelberg GmbH & Co. K: 9783540546153: 23 Oct 1991: This monograph contributes to the fundamental theory of semialgebraic theory and semialgebraic sets over a real closed field. The first section deals with sheaves and their cohomology on spaces, while the second part develops a homology theory for locally complete semialgebraic spaces. 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. Algebraic Geometry, , , , Homology of Locally Semialgebraic Spaces, Hans Delfs, 9783540546153, Springer-Verlag Berlin and Heidelberg GmbH & Co. KG, , , , ,, [PU: Springer, Berlin/Heidelberg]

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Homology of Locally Semialgebraic Spaces - Delfs, Hans
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Delfs, Hans:
Homology of Locally Semialgebraic Spaces - Taschenbuch

2008, ISBN: 9783540546153

[ED: Softcover], [PU: Springer, Berlin], 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. 2008. x, 138 S. X, 138 p. 235 mm Versandfertig in 3-5 Tagen, [SC: 0.00], Neuware, gewerbliches Angebot

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Homology of Locally Semialgebraic Spaces - Hans Delfs
Vergriffenes Buch, derzeit bei uns nicht verfügbar.
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Hans Delfs:
Homology of Locally Semialgebraic Spaces - neues Buch

ISBN: 9783540546153

ID: 9783540546153

Mathematics; Category Theory, Homological Algebra; Algebraic Topology; Algebraic Geometry; Topology Algebraic topology, Cohomology, Homotopy, homology, real varieties, semialgebraic topology, sheaf theory Books Book, Springer Science+Business Media

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Delfs, Hans: Homology of Locally Semialgebraic Spaces
Vergriffenes Buch, derzeit bei uns nicht verfügbar.
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Delfs, Hans: Homology of Locally Semialgebraic Spaces - neues Buch

ISBN: 9783540546153

ID: 90562607

Lecture Notes in Mathematics. 1991. Auflage Lecture Notes in Mathematics. 1991. Auflage Bücher > Wissenschaft > Mathematik, [PU: Springer, Berlin/Heidelberg]

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Homology of Locally Semialgebraic Spaces - Hans Delfs
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Hans Delfs:
Homology of Locally Semialgebraic Spaces - Taschenbuch

1991, ISBN: 9783540546153

ID: 482994

1991, Softcover, Buch, [PU: Springer Berlin]

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Details zum Buch
Homology of Locally Semialgebraic Spaces
Autor:

Delfs, Hans

Titel:

Homology of Locally Semialgebraic Spaces

ISBN-Nummer:

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.

Detailangaben zum Buch - Homology of Locally Semialgebraic Spaces


EAN (ISBN-13): 9783540546153
ISBN (ISBN-10): 3540546154
Taschenbuch
Erscheinungsjahr: 1991
Herausgeber: Springer-Verlag GmbH
148 Seiten
Gewicht: 0,234 kg
Sprache: eng/Englisch

Buch in der Datenbank seit 11.04.2007 18:08:56
Buch zuletzt gefunden am 26.04.2017 11:36:35
ISBN/EAN: 9783540546153

ISBN - alternative Schreibweisen:
3-540-54615-4, 978-3-540-54615-3


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