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