Collected papers, Volum 3

a₁ admissible affine arbitrary B₁ bicomplex cell characteristic classes cochain cocycle codimension coefficients cohomologies coincides combinatorial complex computation connection consider constructed coordinates cooriented corresponding cycle D₁ decomposition defined definition denote depend diffeomorphism differential form dimensional E₁ element equal equation equivalent fiber filtration finite foliation follows formal vector fields function given gl(n Hence homogeneous homologies homomorphism homotopic I. M. Gel'fand i₁ induced integral geometry invariant inversion formula isomorphism LEMMA Lie algebra linear mapping matrix metric n₁ neurons obtain operator orientation p-dimensional pair permutations PL foliation planes polynomial principal G-bundle problem projective Proof Proposition prove Radon transform relation respect simplex simplicial smooth manifold space spectral sequence structure submanifold subspace tangent Theorem tion topological transform trivial U₁ V₁ values vector bundle vector fields w₁ W₂ X₁ zero