  A subspace arrangement is a finite collection of affine subspaces in
$\mathbb{R}^n$. One of the main problems associated to arrangements asks up to
what extent the topological invariants of the union of these spaces, and of
their complement are determined by the combinatorics of their intersection. The
most important result in this direction is due to Goresky and MacPherson. As an
application of their stratified Morse theory they showed that the additive
structure of the cohomology of the complement is determined by the underlying
combinatorics.
  In this paper we consider toric arrangements; a finite collection of subtori
in $(\mathbb{C}^{\ast})^l$. The aim of this paper is to prove an analogue of
the Goresky-MacPherson's theorem in this context. When all the subtori in the
arrangement are of codimension-$1$ we give an alternate proof of a theorem due
to De Concini and Procesi.
