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."
General
Imprint: |
Springer-Verlag
|
Country of origin: |
Germany |
Series: |
Universitext |
Release date: |
April 1986 |
First published: |
1986 |
Authors: |
Birger Iversen
|
Dimensions: |
244 x 170 x 24mm (L x W x T) |
Format: |
Paperback
|
Pages: |
464 |
Edition: |
Softcover reprint of the original 1st ed. 1986 |
ISBN-13: |
978-3-540-16389-3 |
Categories: |
Books >
Science & Mathematics >
Mathematics >
Topology >
Algebraic topology
|
LSN: |
3-540-16389-1 |
Barcode: |
9783540163893 |
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