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. 
Ko-Ki Ito, Masahiko Yoshinaga
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