| 書目名稱 | Homology of Locally Semialgebraic Spaces | | 編輯 | Hans Delfs | | 視頻video | http://file.papertrans.cn/429/428152/428152.mp4 | | 叢書名稱 | Lecture Notes in Mathematics | | 圖書封面 |  | | 描述 | Locally semialgebraic spaces serve as an appropriateframework for studying the topological properties ofvarieties and semialgebraic sets over a realclosed 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 forlocally completelocally semialgebraic spaces over a real closed fieldisdeveloped, the semialgebraic analogue of classicalBore-Moore-homology. Topics include fundamental classes ofmanifolds and varieties, Poincare duality, extensions of thebasefield and a comparison with the classical theory.Applying semialgebraicBorel-Moore-homology, a semialgebraic("topological") approach to intersection theory on varietiesover an algebraically closed field ofcharacteristic zero isgiven. The book is addressed to researchers andadvancedstudents in real algebraic geometry and related areas. | | 出版日期 | Book 1991 | | 關鍵詞 | Algebraic topology; Cohomology; Homotopy; homology; real varieties; semialgebraic topology; sheaf theory | | 版次 | 1 | | doi | https://doi.org/10.1007/BFb0093939 | | isbn_softcover | 978-3-540-54615-3 | | isbn_ebook | 978-3-540-38494-6Series ISSN 0075-8434 Series E-ISSN 1617-9692 | | issn_series | 0075-8434 | | copyright | Springer-Verlag Berlin Heidelberg 1991 |
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