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                <term xml:lang="en">Measured foliations</term>
                <term xml:lang="en">Affine foliations</term>
                <term xml:lang="en">Train tracks</term>
                <term xml:lang="en">Interval exchange</term>
                <term xml:lang="fr">Feuilletages mesurés</term>
                <term xml:lang="fr">Feuilletages transversalement affines</term>
                <term xml:lang="fr">Réseaux ferroviaires</term>
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              <p>We study the affine foliations on a compact surface in both cases : with a boundary and without a boundary. We connect between several ways of constructing these foliations. These ways are the first return map, the affine interval exchange (for a foliation which is not necessarily orientable), the train tracks with broken measures, the gluing affine foliations on surface with boundary, and the measured foliation on the universal covering with covering translation acting in affine ways. We study the injectivity of the applications with image in the space of equivalence classes of affine foliations which result from these various constructions.</p>
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              <p>On étudie les feuilletages transversalement affines des surfaces compactes, avec ou sans bord. On met en relation plusieurs méthodes de construction de tels feuilletages: application de premier retour et échanges d'intervalles affines (pour un feuilletage pas nécessairement orientable) ; mesure brisée sur un réseau ferroviaire; feuilletage mesuré sur le revêtement universel avec automorphismes du revêtement agissant de manière affine ; recollement le long de leur bord de surfaces munies de feuilletages affines. On étudie l'injectivité des applications à image dans l'espace des classes d'équivalence des feuilletages transversalement affines qui résultent de ces diverses constructions.</p>
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