  The main purpose of this paper is to present a kneading theory for
two-dimensional triangular maps. This is done by defining a tensor product
between the polynomials and matrices corresponding to the one-dimensional basis
map and fiber map. We also define a Markov partition by rectangles for the
phase space of these maps. A direct consequence of these results is the
rigorous computation of the topological entropy of two-dimensional triangular
maps. The connection between kneading theory and subshifts of finite type is
shown by using a commutative diagram derived from the homological
configurations associated to $m-$modal maps of the interval.
