Index

2-category, 15, 22, 23, 24-26

model, 195, 198

of C-algebras, 105

of C-model categories, 114

of C-modules, 104

of categories, 18, 24

of categories and adjunctions, 24

of central C-algebras, 106

of central monoidal C-algebras, 115

of closed monoidal categories, 106

of closed monoidal pre-triangulated cate-

gories, 174

of model categories, 18, 24, 195

of monoidal C-model categories, 115

of monoidal categories, 103

of monoidal model categories, 113

of pointed model categories, 145

of pre-triangulated categories, 173

of stable homotopy categories, 187

of stable model categories, 178

of symmetric C-algebras, 105

of symmetric monoidal C-algebras, 115

of symmetric monoidal categories, 104

of triangulated categories, 178

2-functor, 24

A* g K, 76

A* A K, 76

CW-complex, 51

C*-algebras, 196

/-cell complex, 31

/-cofibration, 30

/-fibration, 30

7-injective, 30

/-projective, 30

/-cell, see also relative /-cell complex

Q, see also coflbrant replacement functor

R, see also fibrant replacement functor

S-modules, 113, 178, 187

Cat

a

d , see also 2-category, of categories and

adjunctions

Ch(B), see also chain complexes, of comod-

ules

Ch(R), see also chain complexes, of modules

A, see also simplicial category

Mod , see also 2-category, of model cate-

gories

9A[n], 75

C-Quillen functor, 114

C-algebra, 104

C-algebra functor, 104

C-algebra natural transformation, 104

C-algebra structure, 104

C-model category, 101, 114, 118

C-module, 104

C-module functor, 104

C-module natural transformation, 104

C-module structure, 104

K, see also k-spaces

K*, see also /c-spaces, pointed

A[n], 75

7-filtered cardinal, see also cardinal,

7-filtered

| — |, see also geometric realization

Ar[n], 75

K-small, 29

A-sequence, see also lambda sequence

SSet, see also simplicial sets

SSet*, see also simplicial sets, pointed

Top, see also topological spaces

Top*, see also topological spaces, pointed

T, see also topological spaces, compactly

generated

T*, see also topological spaces, compactly

generated, pointed

fDg, 81, 107

fc-space, 58

/c-spaces, 77, 80, 98, 106, 110, 114, 118

pointed, 111, 114, 118

p-related vertices, 91, 93

acyclic chain complex, see also chain com-

plex, acyclic

adjunction

of two variables, 106, 116, 119

anodyne extension, 79, 80-83, 109

associativity isomorphism, 134

basepoint, 4

bimodules, 102-103, 106

bisimplicial sets, 128-129, 132

boundary map, 87, 88, 156, 171

Brown, Ken, see also Ken Brown's lemma

205