Index O-cell of a graph, 5 1-cell of a graph, 5 abstract simplicial complex, 102 action of a group, 87 admissible map, 101 Alexander horned sphere, 277 Alexandroff theorem, 61 algebra Clifford, 265 division, 204 algebraic curve plane, 279 reducible, 279 amalgam, 268 antipodal map, 113 points, 113 theorem, 113 approximation cellular, 126 simplicial, 104 atlas, 182 orientation, 206 attaching via a map, 117 automorphism group of a covering, 38 automorphism of a covering, 38 Balinski theorem, 22 barycentric coordinates, 81 subdivision, 81, 99 second, 82 base of a bundle, 162 of a covering, 35 of a topology, 1 point, 30 Borsuk lemma, 164 Borsuk-Ulam theorem, 113, 154 Bott-Whitney polynomial, 51 boundary of a manifold, 183 of a pseudomanifold, 109 boundary point, 183 bridge, 54 Brouwer dimension invariance theorem, 60 fixed point theorem, 72 bundle * locally trivial, 162 tangent, 202 Cantor set, 61 cell closed, 119 open, 119 open Schubert, 196 rectilinear, 100 cellular approximation, 126 construction, 130 map, 126 cellular approximation theorem, 126 characteristic Euler, 144 map of a cell, 119 chart, 181 chromatic polynomial, 48 Clifford algebra, 265 closed cell, 119 325

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