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|a Delfs, Hans.
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|a Homology of locally semialgebraic spaces /
|c Hans Delfs.
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| 246 |
3 |
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|a Semialgebraic spaces
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| 264 |
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1 |
|a Berlin ;
|a New York :
|b Springer-Verlag,
|c [1991]
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4 |
|c ©1991
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|a 1 online resource (viii, 136 pages)
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|a Lecture Notes in Mathematics,
|x 0075-8434 ;
|v 1484
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| 504 |
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|a Includes bibliographical references (pages [134]-136) and index.
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| 520 |
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|a 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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| 538 |
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|a Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.
|u http://purl.oclc.org/DLF/benchrepro0212
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|a Description based on print version record.
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|a Electronic resource.
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|a Algebraic spaces.
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| 650 |
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|a Homology theory.
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|a Espaces algébriques.
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| 650 |
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6 |
|a Homologie.
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7 |
|a Algebraic spaces.
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|0 (OCoLC)fst00804939
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| 650 |
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|a Homology theory.
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|0 (OCoLC)fst00959720
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7 |
|a Homologie.
|2 gtt
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| 650 |
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|a Algebraïsche meetkunde.
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|a Homologie.
|2 swd
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|a Semialgebraischer Raum.
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|a Electronic books.
|2 local
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2 |
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|a SpringerLink (Online service)
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|i Print version:
|a Delfs, Hans.
|t Homology of locally semialgebraic spaces.
|d Berlin ; New York : Springer-Verlag, ©1991
|z 0387546154
|w (DLC) 91034197
|w (OCoLC)24467281
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0 |
|a Lecture notes in mathematics (Springer-Verlag) ;
|v 1484.
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| 856 |
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