Homology of Locally Semialgebraic Spaces is popular PDF and ePub book, written by Hans Delfs in 2006-11-14, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Homology of Locally Semialgebraic Spaces can be Read Online from any device for your convenience.
Homology of Locally Semialgebraic Spaces Book PDF Summary
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.
Detail Book of Homology of Locally Semialgebraic Spaces PDF
- Author : Hans Delfs
- Release : 14 November 2006
- Publisher : Springer
- ISBN : 9783540384946
- Genre : Mathematics
- Total Page : 145 pages
- Language : English
- PDF File Size : 13,5 Mb
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