(x)/3,

1, 10

II,

5

I

l1, 27

+

core,

6

F-set,

15

F-set( ), 21

free groupoid, 15

graph, 15

u,

27

9-+, 6

~.

5

~,

partial order, 34

:::5,

total pre-order, 34

_..., 65

~.

naturally equivalent,

abstract maps of graphs, 10

groupoid morphisms, 7

G[u,

v]

(G

a forest groupoid), 7

Z[v,

w]

(Z

a forest),

9

F\U, U/F,

5

Fu, 5

U XV,

5

Xi,

27

Z1o22, Z1o·••oZn,

10

[z/Zo]z, 32

(/3,Z,Zo,l!),

33

(/3,

Zo)-weight, 33

[/3/Zo], 33

[/3],

h],

32

CB(/3), 31

Eq(a,/3), 72

EZ, 6

Ez±

1

,

9

E(Q), 34

E(Z/Zo), 34

Fix(),

family of group endomorphisms, 1

group endomorphism, ii

groupoid endomorphism, 7

self-map, 11

FPnV(Q), 33

FPnV(/3), 33

G-set, 5

G-set( ),

Index

77

for abstract map of graphs,

21,

for morphism of groupoids 9

G(u,v), 7

L,

5

as

subscript,

9

(!(t',Zo)'

33

..(¢),

46

Lip(/3), 31

Mix(Q), 34

Mix(Z, Zo), 34

nTip(Q), 34

nTip(/3, Zo), 34

w(/3/Zo), 33

PF(Q), 33

PF(/3/Zo), 33

(PF, FPnV, E, nTip, Mix)(Q), 34

1r, a left adjoint,

9

1rZ, free groupoid, 9

1r1-injective, 10

Q(¢),

33

(Q(¢),

~).

34

r( ), rank,

free group, 1

free groupoid, 15

r( ),

reduced rank,

free group, 1

free groupoid, 15

graph, 15

F-set,

15

T,

5

as

subscript, 9

vz,

6

v,

v

G-sets,

5

groupoids, 7

sets, 5

Vol(Z,£), Vol(Z), 31

abstract map

finite metric graphs, 31

graphs, 10

act on a tree, 16

freely, 16

arc, 10

at (turn at vertex), 10

automorphism

http://dx.doi.org/10.1090/conm/195