Abstract
In this chapter, we explain the sheaf-theoretic approach to intersection homology theory. We introduce here the Deligne intersection cohomology complex, whose hypercohomology computes the intersection homology groups. This complex of sheaves can be described axiomatically in a way that is independent of the stratification or any additional geometric structure (such as a piecewise linear structure), leading to a proof of the topological invariance of intersection homology groups.
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