Index of notation and defined terms

2-sided, 32

A ⊗R B, 35

B(6), 64

C′(

1

n

), 77, 85

C(p), 85

C(p) small-cancellation condition, 82

H-wall, 71

N(H), 14

WProjX (B → A), 41

∢(c), 81

∂pD, 15

CG(H), 26

Hull(HK), 28

MQH, 107

VH-complex, 11

⟨⟨H1,H2,...⟩⟩, 78

Nμ(H), 25

∣∣Yi∣∣, 86

∣P∣, 86

i-shell, 82

n-cube, 7

#(p,q), 14

∁(Y → X), 36

Absorbing squares, 86

acts, 54

admit, 89

Admitted rectangles, 89

almost malnormal, 25

almost malnormal quasiconvex

hierarchy, 107

alternating, 8

angle, 81

angled 2-complex, 81

annuladder, 103

annular diagram, 101

annular diagram in

X∗,

101

axis, 67

B(6), 64

betwixts, 53

bicollared, 103

boundary cycle, 15

boundary path, 15

bounded packing, 62

cage, 128

cancelable pair, 84

canceled pair, 17

canonical 0-cube, 65

canonical completion, 36

canonical cube, 65

canonical retraction, 36

carrier, 14, 58, 98

CAT(0) cube complex, 8

cladder, 99

class, 103

clean, 12

codimension-1, 58

Combining cone-cells, 85

commensurable, 26

commensurator, 26

complete square complex, 11

cone-cell, 79

cone-piece, 89

consecutive, 98

convex, 14

convex wallspace, 96

core, 27

cornsquare, 21

cosparsely, 65

cross, 61

crossing graph, 33

cube complex, 7

cubical hierarchy, 126

cubical presentation, 78

curvature at a 2-cell, 81

cut-wall, 67

cutting along a hyperplane, 126

cyclic hierarchy, 132

139