Chapter 8
de Rham Cohomology
Abstract
We begin this chapter with some algebraic constructions that we will need later: (co) chain complexes and related matters. Then we introduce the de Rham cohomology of a smooth manifold with boundary 
, which measures in a precise way the difference between closed and exact differential forms on 
. Actually, we introduce the notion of a smooth pair 
and consider the de Rham cohomology of a smooth pair. We develop ...
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