Index

[r]

⊂, 11

c

⊂, 11

[r]

=, 11

c

=, 11

[r]

∩, 11

c

∩, 11

Bass-Serre tree, 18

Bass-Serre tree of spaces, 3, 18

bounded geometry, 21

bushy, 20

coarse PD(n) group, 24

coarse PD(n) space, 23

coarse PD(n) space

good, 24

coarse Bass-Serre complex, 26

coarse containment, 11

coarse convergence, 13

coarse dimension, 22

coarse equivalence, 11

coarse finite type, 22

coarse intersection, 11

coarse inverse, 12

coarse limit, 13

coarse Lipschitz, 12

coset pattern, 89

crosses, 12, 31

crossing graph, 5

deep, 12

depth

of graph of groups, 49

of raft, 50

of vertex or edge, 49

depth zero

edge, 19

raft, 5, 19, 50

vertex, 19

vertex space, 4

depth zero raft rigidity, 30

edge group, 17

edge space, 4, 17

isolated, 61

edge-to-vertex homomorphism, 17

edge-to-vertex map, 17

fat vertex, 50

finite depth graph of groups, 6

flotilla, 50, 82

gauge function, 12

geodesic, 13

geodesic metric space, 13

geometrically homogeneous, 1

graph of groups, 17

admissible, 26

finite depth, 49

finite type, 17

geometrically homogeneous, 1

irreducible, 4, 20

reducible, 19

graph of spaces, 17

mutually thick, 31

pattern, 89

proper metric space, 13

quasi-action, 13

cobounded, 13

proper, 13

quasi-isometric embedding, 12

quasi-isometry, 12

quasiconjugacy, 13

quasigeodesic, 13

raft, 50

raft space, 19

thick, 31

uniform equivalence, 12

uniformly acyclic, 21

uniformly contractible, 21

uniformly proper, 12

uniformly proper equivalence, 12

vertex group, 17

vertex space, 4, 17

105