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Introduction a Survey of Some Topological Concepts
Basic Information about Sets Spaces Vectors Groups
Twodimensional Polyhedral Topology
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algebraic arc-wise connected assume barycentric coordinates barycentric mapping Betti numbers boundary bounding Brouwer called cells chain chain-mapping chain-subdivision closed path closed sets compact compactum components Consider contains coordinates corresponding covering complexes cycle cyclic defined definition degree denote dimension disjoint duality theorem elementary elements Euclidean space finite fixed point follows fundamental group geometric complex Hence homeomorphism homology class homology groups homotopy integral intersection inverse isomorphism J. W. Alexander Jordan curve Jordan curve theorem linear manifolds mesh metric space n-cell n-circuit n-cycle n-simplexes n-sphere nonorientable one-cycle one-one open sets operation pair of antipodal plane plex Poincare point-set polyhedra polyhedron proof prove region relation relative replaced segment simplexes simplicial complex space 9 sphere star-projection star-related subcomplex subdivision subset Suppose theory tion topological space transformation triangles two-cell vertex vertices written zero zero-cyclic