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Cohomology of Sheaves

  • Textbook
  • © 1986

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Part of the book series: Universitext (UTX)

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About this book

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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Keywords

Table of contents (11 chapters)

Authors and Affiliations

  • Mathematisk Institut, Aarhus Universitet, Aarhus C, Denmark

    Birger Iversen

Bibliographic Information

  • Book Title: Cohomology of Sheaves

  • Authors: Birger Iversen

  • Series Title: Universitext

  • DOI: https://doi.org/10.1007/978-3-642-82783-9

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1986

  • Softcover ISBN: 978-3-540-16389-3Published: 01 April 1986

  • eBook ISBN: 978-3-642-82783-9Published: 06 December 2012

  • Series ISSN: 0172-5939

  • Series E-ISSN: 2191-6675

  • Edition Number: 1

  • Number of Pages: XII, 464

  • Topics: Algebraic Topology

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