SEMI-ALGEBRAIC PARTITION AND BASIS OF BOREL-MOORE HOMOLOGY OF HYPERPLANE ARRANGEMENTS.

We describe an explicit semi-algebraic partition for the complement of a real hyperplane arrangement such that each piece is contractible and so that the pieces form a basis of Borel-Moore homology. We also give an explicit correspondence between the de Rham cohomology and the Borel-Moore homology. [ABSTRACT FROM AUTHOR]