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Titlebook: Cohomology of Sheaves; Birger Iversen Textbook 1986 Springer-Verlag Berlin Heidelberg 1986 Characteristic class.Chern class.Homotopy.cohom

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书目名称Cohomology of Sheaves
编辑Birger Iversen
视频video
丛书名称Universitext
图书封面Titlebook: Cohomology of Sheaves;  Birger Iversen Textbook 1986 Springer-Verlag Berlin Heidelberg 1986 Characteristic class.Chern class.Homotopy.cohom
描述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.
出版日期Textbook 1986
关键词Characteristic class; Chern class; Homotopy; cohomology; homological algebra; homology; homotopy theory
版次1
doihttps://doi.org/10.1007/978-3-642-82783-9
isbn_softcover978-3-540-16389-3
isbn_ebook978-3-642-82783-9Series ISSN 0172-5939 Series E-ISSN 2191-6675
issn_series 0172-5939
copyrightSpringer-Verlag Berlin Heidelberg 1986
The information of publication is updating

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Textbook 1986ult 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
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978-3-540-16389-3Springer-Verlag Berlin Heidelberg 1986
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Severe Community-Acquired Pneumonia,By a . we understand a non-empty set I equipped with a preorder, i.e. a relation satisfying.subject to the condition that for any a∈ I and b ∈ I there exists c∈I with a ≤ c and b ≤ c.
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Intra-Abdominal Hypertension and MODS,In this section we shall prove that sheaf cohomology with constant coefficient is a . . of the space. Recall that continuous maps f,g: X → Y are said to be homotopic if there exists a continuous map F: X × [0,1] → Y with
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