Cohomology and Analysis
Part of the Universitext book series (UTX)
In this section we shall prove that sheaf cohomology with constant coefficient is a homotopy invariant 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
$$ F(x,0) = f(x),F(x,1) = g(x)\;;\;x \in X $$
KeywordsFiltration Manifold Argo
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© Springer-Verlag Berlin Heidelberg 1986