Hello, The following preprint is available. Comments are welcome. Title : Unifying The Globular and The Topological Approach of Dihomotopy Abstract : We introduce the category of flows and an equivalence relation on it called weak dihomotopy. The category of globular CW-complexes introduced in math.AT/0107060 can be embedded in a canonical way into the category of flows. This embedding induces a category equivalence from the category of globular CW-complexes up to dihomotopy and the one of flows up to weak dihomotopy. This statement is proved thanks to a directed version of Whitehead's theorem (the one concerning the equivalence between weak homotopy and homotopy for CW-complex). So studying HDA up to dihomotopy is equivalent to working within the category of flows. This setting is better than the one of globular CW-complexes because the category of flows is complete and cocomplete. Url : http://www-irma.u-strasbg.fr/~gaucher/dspace.ps http://www-irma.u-strasbg.fr/~gaucher/dspace.pdf http://www-irma.u-strasbg.fr/~gaucher/dspace.ps.gz http://www-irma.u-strasbg.fr/~gaucher/dspace.pdf.gz 28-Jan-2002 11:12:01 -0400,3475;000000000000-00000000