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Více informací o knize Homology of Locally Semialgebraic Spaces

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Anotace knihy

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.

Parametry knihy

Zařazení knihy Knihy v angličtině Mathematics & science Mathematics Geometry

• Plný název: Homology of Locally Semialgebraic Spaces
• Autor: Hans Delfs
• Jazyk: Angličtina
• Vazba: Brožovaná
• Počet stran: 138
• EAN: 9783540546153
• ISBN: 3540546154
• ID: 04333614
• Nakladatelství: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
• Hmotnost: 480 g
• Rozměry: 235 × 155 × 10 mm
• Datum vydání: 23. October 1991

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