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1
D Ara , Higher
quasi-categories vs higher Rezk spaces , J. K–Theory 14
(2014) 701 MR3350089
2
D Ayala , J
Francis , H L Tanaka , Local structures on
stratified spaces , Adv. Math. 307 (2017) 903 MR3590534
3
C Barwick , On left and right
model categories and left and right Bousfield
localizations , Homology Homotopy Appl. 12 (2010) 245
MR2771591
4
C Barwick , C
Schommer-Pries , On the unicity of the homotopy theory of
higher categories , preprint (2011) arXiv:1112.0040
5
J E Bergner , C
Rezk , Comparison of models
for ( ∞ ,n ) –categories, I , Geom. Topol. 17 (2013)
2163 MR3109865
6
J E Bergner , C
Rezk , Reedy categories
and the Θ –construction ,
Math. Z. 274 (2013) 499 MR3054341
7
J E Bergner , C
Rezk , Comparison of models for ( ∞ ,n ) –categories,
II , preprint (2014) arXiv:1406.4182
8
D C Cisinski ,
Les
préfaisceaux comme modèles des types d’homotopie , 308,
Soc. Math. France (2006) MR2294028
9
D C Cisinski ,
I Moerdijk , Dendroidal Segal spaces
and ∞ –operads , J. Topol. 6
(2013) 675 MR3100887
10
D Fuentes-Keuthan ,
M Kędziorek , M Rovelli , A model
structure on prederivators for ( ∞ , 1) –categories , Theory Appl. Categ. 34
(2019) 1220 MR4039244
11
A Gagna , Y
Harpaz , E Lanari , On the equivalence of all
models for ( ∞ , 2) –categories , preprint (2019) arXiv:1911.01905
12
R Haugseng ,
On the
equivalence between Θ n –spaces and iterated Segal
spaces , Proc. Amer. Math. Soc. 146 (2018) 1401 MR3754328
13
S Henry , Weak model
categories in classical and constructive mathematics ,
preprint (2018) arXiv:1807.02650
14
P S Hirschhorn ,
Model categories and their localizations , 99, Amer.
Math. Soc. (2003) MR1944041
15
T Johnson-Freyd ,
Is there an
accepted definition of ( ∞ , ∞ ) –category ? , MathOverflow question
(2018)
16
A Joyal , Notes on
quasi-categories , preprint (2008)
17
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
18
Y Lafont , F
Métayer , K Worytkiewicz , A folk model
structure on omega-cat , Adv. Math. 224 (2010) 1183
MR2628809
19
J Lurie , Higher topos
theory , 170, Princeton Univ. Press (2009) MR2522659
20
J Lurie ,
( ∞ , 2) –categories and the Goodwillie calculus,
I , preprint (2009) arXiv:0905.0462
21
J Lurie , Higher algebra , book
project (2018)
22
S MacLane , I
Moerdijk , Topos
theory , from: "Handbook of algebra, I" (editor M
Hazewinkel), Handb. Algebr. 1, Elsevier (1996) 501 MR1421810
23
V Ozornova , M
Rovelli , Nerves of 2 –categories and 2 –categorification of ( ∞ , 2) –categories , preprint (2019) arXiv:1902.05524
24
C Rezk , A model for the
homotopy theory of homotopy theory , Trans. Amer. Math.
Soc. 353 (2001) 973 MR1804411
25
C Rezk , A Cartesian
presentation of weak n –categories , Geom. Topol. 14 (2010)
521 MR2578310
26
E Riehl , Complicial sets,
an overture , from: "2016 MATRIX annals" (editors
D R Wood, J de Gier, C E Praeger, T Tao), MATRIX Book
Ser. 1, Springer (2018) 49 MR3792516
27
E Riehl , D
Verity , Elements of
∞ –category theory , book
project (2018)
28
R Steiner , Complicial
structures in the nerves of omega-categories , Theory
Appl. Categ. 28 (2013) 780 MR3104949
29
R Street , The algebra of
oriented simplexes , J. Pure Appl. Algebra 49 (1987) 283
MR920944
30
R Street , Fillers for
nerves , from: "Categorical algebra and its
applications" (editor F Borceux), Lecture Notes in Math. 1348,
Springer (1988) 337 MR975981
31
D Verity , Complicial sets
characterising the simplicial nerves of strict ω –categories , 905, Amer. Math. Soc.
(2008) MR2399898
32
D R B
Verity , Weak complicial
sets, I : Basic homotopy theory , Adv. Math. 219 (2008)
1081 MR2450607
33
D Verity , A
complicial compendium , talk slides (2017)