## A morphism
of intersection homology induced
by an algebraic map

**Andrzej Weber**

4 pages

Let $f:X-->Y$ be a map of algebraic varieties. Barthel, Brasselet,
Fieseler, Gabber and Kaup have shown that there exists a homomorphism of
intersection homology groups $f^*:IH^*(Y)-->IH^*(X)$ compatible with the
induced homomorphism on cohomology. The crucial point in the argument is
reduction to the finite characteristic. We give an alternative and short
proof of the existence of a homomorphism $f^*$. Our construction is an
easy application of the Decomposition Theorem.