R Brown, P J
Higgins, The equivalence of $\infty $–groupoids and
crossed complexes, Cahiers Topologie Géom. Différentielle
22 (1981) 371 MR639048
8
R Brown, P J
Higgins, The equivalence of $\omega $–groupoids and
cubical $T$–complexes, Cahiers Topologie Géom.
Différentielle 22 (1981) 349 MR639047
9
R Brown, P J
Higgins, On the algebra of cubes, J. Pure Appl.
Algebra 21 (1981) 233 MR617135
10
R Brown, P J
Higgins, Tensor products and homotopies for
$\omega$–groupoids and crossed complexes, J. Pure Appl.
Algebra 47 (1987) 1 MR906402
11
R Brown, G H
Mosa, Double categories, $2$–categories, thin structures
and connections, Theory Appl. Categ. 5 (1999) 163 MR1694653
12
D C Cisinski,
La classe des morphismes de Dwyer n'est pas stable par
retractes, Cahiers Topologie Géom. Différentielle Catég. 40
(1999) 227 MR1716777
13
D C Cisinski,
Les préfaisceaux comme modèles des types d'homotopie,
Astérisque (2006) MR2294028
14
R J M
Dawson, R Paré, What is a free double category
like?, J. Pure Appl. Algebra 168 (2002) 19 MR1879928
15
R J M
Dawson, R Paré, D A Pronk, Paths in
double categories, Theory Appl. Categ. 16 (2006) 460
MR2259260
16
J W Duskin,
Simplicial matrices and the nerves of weak $n$–categories.
II. Bicategory morphisms and simplicial maps, Preprint
(2001)
17
J W Duskin,
Simplicial matrices and the nerves of weak $n$–categories.
I. Nerves of bicategories, Theory Appl. Categ. 9 (2001/02)
198 MR1897816
18
A Ehresmann, C
Ehresmann, Multiple functors. II. The monoidal closed
category of multiple categories, Cahiers Topologie Géom.
Différentielle 19 (1978) 295 MR546074
19
A Ehresmann, C
Ehresmann, Multiple functors. III. The Cartesian closed
category $\mathrm{Cat}_{n}$, Cahiers Topologie Géom.
Différentielle 19 (1978) 387 MR515164
20
A Ehresmann, C
Ehresmann, Multiple functors. IV. Monoidal closed
structures on $\mathrm{Cat}_{n}$, Cahiers Topologie Géom.
Différentielle 20 (1979) 59 MR544529
21
C Ehresmann,
Catégories structurées, Ann. Sci. École Norm. Sup. $(3)$
80 (1963) 349 MR0197529
22
C Ehresmann,
Catégories et structures, Dunod (1965) MR0213410
23
T M Fiore,
Pseudo limits, biadjoints, and pseudo algebras: categorical
foundations of conformal field theory, Mem. Amer. Math.
Soc. 182 (2006) MR2229946
24
T M Fiore,
Pseudo algebras and pseudo double categories, J.
Homotopy Relat. Struct. 2 (2007) 119 MR2369164
25
T M Fiore, S
Paoli, D Pronk, Model structures on the category
of small double categories, Algebr. Geom. Topol. 8 (2008)
1855 MR2449004
26
R Fritsch, D M
Latch, Homotopy inverses for nerve, Bull. Amer.
Math. Soc. $($N.S.$)$ 1 (1979) 258 MR513754
27
R Fritsch, D M
Latch, Homotopy inverses for nerve, Math. Z. 177
(1981) 147 MR612870
28
P Gabriel, F
Ulmer, Lokal präsentierbare Kategorien, Lecture
Notes in Math. 221, Springer (1971) MR0327863
29
P Gabriel, M
Zisman, Calculus of fractions and homotopy theory,
Ergebnisse der Math. und ihrer Grenzgebiete 35, Springer (1967)
MR0210125
30
P G Goerss,
J F Jardine, Simplicial homotopy theory,
Progress in Math. 174, Birkhäuser Verlag (1999) MR1711612
31
M Golasiński,
Homotopies of small categories, Fund. Math. 114 (1981)
209 MR644406
32
M Golasiński,
Closed models on the procategory of small categories and
simplicial schemes, Russian Math. Surveys 39 (1984) 275
MR764018
33
M Golasiński,
Closed models on the procategory of small categories and
simplicial schemes, Uspekhi Mat. Nauk 39 (1984) 239
MR764018
34
M Grandis, Higher
cospans and weak cubical categories (cospans in algebraic
topology. I), Theory Appl. Categ. 18 (2007) 321 MR2326435
35
M Grandis, Cubical
cospans and higher cobordisms (cospans in algebraic topology.
III), J. Homotopy Relat. Struct. 3 (2008) 273 MR2426182
36
M Grandis, R
Paré, Limits in double categories, Cahiers Topologie
Géom. Différentielle Catég. 40 (1999) 162 MR1716779
37
M Grandis, R
Paré, Adjoint for double categories. Addenda to: “Limits
in double categories” [Cah. Topol. Géom. Différ. Catég. \bf40
(1999), no. 3, 162–220; MR1716779], Cah. Topol. Géom.
Différ. Catég. 45 (2004) 193 MR2090335
38
M Grandis, R
Paré, Lax Kan extensions for double categories (on weak
double categories. IV), Cah. Topol. Géom. Différ. Catég. 48
(2007) 163 MR2351267
39
M Grandis, R
Paré, Kan extensions in double categories (on weak
double categories. III), Theory Appl. Categ. 20 (2008) 152
MR2395245
40
M Heggie, Homotopy
cofibrations in $\mathrm{CAT}$, Cahiers Topologie Géom.
Différentielle Catég. 33 (1992) 291 MR1197427
41
M Heggie, The left
derived tensor product of $\mathrm{CAT}$–valued diagrams,
Cahiers Topologie Géom. Différentielle Catég. 33 (1992) 33
MR1163426
42
M Heggie, Homotopy
colimits in presheaf categories, Cahiers Topologie Géom.
Différentielle Catég. 34 (1993) 13 MR1213295
43
P S Hirschhorn,
Model categories and their localizations, Math. Surveys
and Monogr. 99, Amer. Math. Soc. (2003) MR1944041
44
M Hovey, Model
categories, Math. Surveys and Monogr. 63, Amer. Math. Soc.
(1999) MR1650134
45
M L del Hoyo,
On the subdivision of small categories, Topology Appl.
155 (2008) 1189 MR2421828
46
L Illusie, Complexe
cotangent et déformations. II, Lecture Notes in Math. 283,
Springer (1972) MR0491681
A Joyal, M
Tierney, Strong stacks and classifying spaces, from:
"Category theory (Como, 1990)" (editors A Carboni, M C
Pedicchio, G Rosolini), Lecture Notes in Math. 1488, Springer
(1991) 213 MR1173014
54
A Joyal, M
Tierney, Quasi-categories vs Segal spaces, from:
"Categories in algebra, geometry and mathematical physics"
(editors A Davydov, M Batanin, M Johnson, S Lack, A Neeman),
Contemp. Math. 431, Amer. Math. Soc. (2007) 277 MR2342834
55
D M Kan, On c.
s. s. complexes, Amer. J. Math. 79 (1957) 449 MR0090047
56
G M Kelly,
Basic concepts of enriched category theory, Repr. Theory
Appl. Categ. (2005) MR2177301
F Waldhausen,
Algebraic
$K$–theory of spaces, from: "Algebraic and geometric
topology (New Brunswick, NJ, 1983)" (editors A Ranicki, N
Levitt, F Quinn), Lecture Notes in Math. 1126, Springer (1985)
318 MR802796
88
M Weber, Familial
$2$–functors and parametric right adjoints, Theory Appl.
Categ. 18 (2007) 665 MR2369114