Name: Homology Of Locally Semialgebraic Spaces (Vol. 1484)
Brand: Springer Verlag
SKU: 9783540546153
Price: 858.0 INR
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Homology Of Locally Semialgebraic Spaces (Vol. 1484)

by Hans Delfs

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ISBN13: 9783540546153
Binding: Paperback
Subject: Mathematics and Statistics
Publisher: Springer Verlag
Publisher Imprint: Springer V
Publication Date: April 16, 1991
Pages: 148
Original Price: EUR 24.99
Language: English
Edition: N/A
Item Weight: 218 grams
BISAC Subject(s): Algebra / Abstract

About The Book

About the Book 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.

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