Topology, Volume 12

absolute cycle absolute manifolds algebraic algebraic curves Analysis Situs applied assume barycentric base Betti numbers boundary relations cell Ep cell of K-L cells of K chains closed cell Cn-p coincides combinatorial configuration considered coördinates corresponding Cp+1 cycle mod defined definition deformation theorem derived dimension dual duality relations elements Ep+1 Euler-Poincaré characteristic F(Cp finite number fixed points follows formula fundamental Hausdorff space Hence homeomorphic homology characters homology theory incident indicatrix infinite integer intersection theory invariant factors Kronecker index linked complex looping coefficients matrix mesh metric spaces n-cells n-circuit n-cycle neighborhood number of signed obtained oriented Poincaré polyhedral properties proved replaced segment semi-regular similarly simple circuit simplexes simplicial complex simplicial subdivision star of Ep subchain subcomplex subcycle subset T₁ topological invariant torsion coefficients unique vertex vertices zero