  In this paper, we go into the study of the 2-category SSS_\Sigma of
\Sigma-constructible stacks. The notions of constructible stack was introduced
by D. Treumann. It is a natural generalization of constructible sheaf. D.
Treumann has also introduced the exit-path 2-category, which is a stratified
version of the fundamental 2-groupoid and he has showed that these two
2-categories are equivalent. Our approach is different. We show the
2-equivalence between SSS_\Sigma and a 2-category whose objects are
combinatoric data of 2-representations, functors of 2-representations and
isomorphisms of functors.
