Homology of Locally Semialgebraic Spaces by Hans Delfs (English) Paperback Book

Description: Homology of Locally Semialgebraic Spaces by Hans Delfs Locally semialgebraic spaces serve as an appropriateframework for studying the topological properties ofvarieties and semialgebraic sets over a real closed field. FORMAT Paperback LANGUAGE English CONDITION Brand New Publisher Description 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 deals with 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 semialgebraic spaces over a real closed field is developed, the semialgebraic analogue of classical Borel-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. Notes Springer Book Archives Table of Contents Abstract locally semialgebraic spaces.- Sheaf theory on locally semialgebraic spaces.- Semialgebraic Borel-Moore-homology.- Some intersection theory. Promotional Springer Book Archives Long Description 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. Details ISBN3540546154 Author Hans Delfs Short Title HOMOLOGY OF LOCALLY SEMIALGEBR Series Lecture Notes in Mathematics Language English ISBN-10 3540546154 ISBN-13 9783540546153 Media Book Format Paperback Series Number 1484 Imprint Springer-Verlag Berlin and Heidelberg GmbH & Co. K Place of Publication Berlin Country of Publication Germany Birth 1926 Pages 138 Illustrations X, 138 p. DOI 10.1007/b40653;10.1007/978-3-540-38494-6;10.1007/BFb0093939 Publisher Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Edition Description 1991 ed. Year 1991 Edition 1991st Publication Date 1991-10-23 DEWEY 510 Audience Postgraduate, Research & Scholarly We've got this At The Nile, if you're looking for it, we've got it. With fast shipping, low prices, friendly service and well over a million items - you're bound to find what you want, at a price you'll love! TheNile_Item_ID:96280252;

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