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Characteristic Classes

  • Birger Iversen
Chapter
  • 1.8k Downloads
Part of the Universitext book series (UTX)

Abstract

In this section we consider a fixed commutative ring k. Let us recall that the inclusion i: Z → X of a closed subspace gives rise to two functors
$$ {\text{Sh(Z,k)}}\begin{array}{*{20}{c}} {\mathop{ \leftarrow }\limits^{{{{i}^{!}}}} } \\ {\mathop{ \to }\limits_{{{{i}_{*}}}} } \\ \end{array} {\text{Sh(X,k)}} $$
which are mutually adjoints
$${\text{Hom}({\text{i}_*}\text{E},\text{F})}={\text{Hom}(\text{F},{\text{i}^!}\text{F})}$$
(1.1)
The functor i! is left exact and carries injectives into injectives. We shall study the derived functor RPi!, p ∈ℤ.

Keywords

Exact Sequence Vector Bundle Topological Space Line Bundle Chern Class 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1986

Authors and Affiliations

  • Birger Iversen
    • 1
  1. 1.Mathematisk InstitutAarhus UniversitetAarhus CDenmark

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