Cohomology of Sheaves (Universitext) - Tapa blanda

Iversen, Birger

 
9783540163893: Cohomology of Sheaves (Universitext)
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ISBN 10: 3540163891 ISBN 13: 9783540163893
Editorial: Springer-Verlag, 1986

Sinopsis

This text exposes the basic features of cohomology of sheaves and its applications. The general theory of sheaves is very limited and no essential result is obtainable without turn­ ing to particular classes of topological spaces. The most satis­ factory general class is that of locally compact spaces and it is the study of such spaces which occupies the central part of this text. The fundamental concepts in the study of locally compact spaces is cohomology with compact support and a particular class of sheaves,the so-called soft sheaves. This class plays a double role as the basic vehicle for the internal theory and is the key to applications in analysis. The basic example of a soft sheaf is the sheaf of smooth functions on ~n or more generally on any smooth manifold. A rather large effort has been made to demon­ strate the relevance of sheaf theory in even the most elementary analysis. This process has been reversed in order to base the fundamental calculations in sheaf theory on elementary analysis.

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Reseña del editor

This text exposes the basic features of cohomology of sheaves and its applications. The general theory of sheaves is very limited and no essential result is obtainable without turn­ ing to particular classes of topological spaces. The most satis­ factory general class is that of locally compact spaces and it is the study of such spaces which occupies the central part of this text. The fundamental concepts in the study of locally compact spaces is cohomology with compact support and a particular class of sheaves,the so-called soft sheaves. This class plays a double role as the basic vehicle for the internal theory and is the key to applications in analysis. The basic example of a soft sheaf is the sheaf of smooth functions on ~n or more generally on any smooth manifold. A rather large effort has been made to demon­ strate the relevance of sheaf theory in even the most elementary analysis. This process has been reversed in order to base the fundamental calculations in sheaf theory on elementary analysis.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
Springer-Verlag
Año de publicación
1986
Idioma
Inglés
ISBN 10 
3540163891
ISBN 13 
9783540163893
Encuadernación
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Número de páginas
480
Contacto del fabricante
no disponible
Persona responsable
CMN Printpool Inh. Mathis Neumann
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Alemania

Otras ediciones populares con el mismo título

9780387163895: Cohomology of Sheaves (Universitext)

Edición Destacada

ISBN 10:  0387163891 ISBN 13:  9780387163895
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