Homology of Locally Semialgebraic Spaces / by Hans Delfs
(Lecture Notes in Mathematics ; 1484)
| データ種別 | 電子ブック |
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| 出版情報 | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer , 1991 |
| 本文言語 | 英語 |
| 大きさ | X, 138 p : online resource |
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| 内容注記 | Abstract locally semialgebraic spaces Sheaf theory on locally semialgebraic spaces Semialgebraic Borel-Moore-homology Some intersection theory |
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| 一般注記 | 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 |
| 著者標目 | *Delfs, Hans author SpringerLink (Online service) |
| 件 名 | LCSH:Mathematics LCSH:Algebraic geometry LCSH:Category theory (Mathematics) LCSH:Homological algebra LCSH:Topology LCSH:Algebraic topology FREE:Mathematics FREE:Category Theory, Homological Algebra FREE:Algebraic Topology FREE:Algebraic Geometry FREE:Topology |
| 分 類 | DC23:512.6 |
| 巻冊次 | ISBN:9783540384946 
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| ISBN | 9783540384946 |
| URL | http://dx.doi.org/10.1007/BFb0093939 |
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