Homology of Locally Semialgebraic Spaces PDF
by Hans Delfs
Part of the Lecture Notes in Mathematics series
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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.
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- Format:PDF
- Publisher:Springer Berlin Heidelberg
- Publication Date:14/11/2006
- Category:
- ISBN:9783540384946
Information
-
Download Now
- Format:PDF
- Publisher:Springer Berlin Heidelberg
- Publication Date:14/11/2006
- Category:
- ISBN:9783540384946