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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