CONTENTS Introduction.........................................................................5 I. Semi-simplicial morphisms and topology..........................7 II. Foliated ss-manifolds and sheaf cohomology................13 III. Sheaf cohomology of ss-manifolds...............................32 References.......................................................................55
[1] G. Andrzejczak, Some characteristic invariants of foliated bundles, Dissertationes Math. 222 (1984).
[2] G. Andrzejczak, More characteristic invariants of foliated bundles, in: Differential Geometry, Banach Center Publ. 12, PWN, Warszawa 1984, 9-22.
[3] G. Andrzejczak, On foliations of semi-simplicial manifolds and their holonomy, preprint MPI Bonn/SFB 84-55; to appear.
[4] G. Andrzejczak, Supplement to: On foliations of semisimplicial manifolds and their holonomy; the uniqueness, preprint MPI Bonn/SFB 85-27.
[5] G. Andrzejczak, On foliations of semi-simplicial manifolds and characteristic homomorphisms, preprint MPI Bonn/SFB 85-62; to appear.
[6] R. Bott, Lectures on characteristic classes and foliations. In: Lectures on Algebraic and Differential Topology Delivered at the II. ELAM, Lecture Notes in Math. 279, Springer, Berlin 1972, 1-94.
[7] J. L. Dupont, Curvature and Characteristic Classes, Lecture Notes in Math. 640, Springer, Berlin 1978.
[8] C. Godbillon, Cohomologies d'algèbres de Lie champs de vecteurs formels, Sém. Bourbaki 1972/73, exp. 421.
[9] R. Godement, Topologie Algèbrique et Théorie des Faisceaux, Actualités sci. et indust. 1252, "Hermann, Paris 1958.
[10] A. Haefliger, Differentiable cohomology, A course given at CIME, 1976.
[11] A. Haefliger, Groupoides d'holonomie et classifiants, In: Structure Transverse des Feuilletages (Toulouse 1982), Astérisque 116, Soc. Math, de France, 1984, 70-97.
[12] C. Roger, Méthodes homotopiques et cohomologiques en théorie des feuilletages, Thèse, Univ. de Paris XI (1976).
[13] C. Roger, Cohomologie (p,q) des feuilletages et applications, In: Structure Transverse des Feuilletages (Toulouse 1982), Astérisque 116, Soc. Math, de France, 1984, 195-213.