Recent Issues
Volume 24, 5 issues
Volume 24
Issue 5, 2389–2970
Issue 4, 1809–2387
Issue 3, 1225–1808
Issue 2, 595–1223
Issue 1, 1–594
Volume 23, 9 issues
Volume 23
Issue 9, 3909–4400
Issue 8, 3417–3908
Issue 7, 2925–3415
Issue 6, 2415–2924
Issue 5, 1935–2414
Issue 4, 1463–1934
Issue 3, 963–1462
Issue 2, 509–962
Issue 1, 1–508
Volume 22, 8 issues
Volume 22
Issue 8, 3533–4008
Issue 7, 3059–3532
Issue 6, 2533–3057
Issue 5, 2007–2532
Issue 4, 1497–2006
Issue 3, 991–1495
Issue 2, 473–990
Issue 1, 1–472
Volume 21, 7 issues
Volume 21
Issue 7, 3221–3734
Issue 6, 2677–3220
Issue 5, 2141–2676
Issue 4, 1595–2140
Issue 3, 1075–1593
Issue 2, 543–1074
Issue 1, 1–541
Volume 20, 7 issues
Volume 20
Issue 7, 3219–3760
Issue 6, 2687–3218
Issue 5, 2145–2685
Issue 4, 1601–2143
Issue 3, 1073–1600
Issue 2, 531–1072
Issue 1, 1–529
Volume 19, 7 issues
Volume 19
Issue 7, 3217–3753
Issue 6, 2677–3215
Issue 5, 2151–2676
Issue 4, 1619–2150
Issue 3, 1079–1618
Issue 2, 533–1078
Issue 1, 1–532
Volume 18, 7 issues
Volume 18
Issue 7, 3749–4373
Issue 6, 3133–3747
Issue 5, 2509–3131
Issue 4, 1883–2507
Issue 3, 1259–1881
Issue 2, 635–1258
Issue 1, 1–633
Volume 17, 6 issues
Volume 17
Issue 6, 3213–3852
Issue 5, 2565–3212
Issue 4, 1917–2564
Issue 3, 1283–1916
Issue 2, 645–1281
Issue 1, 1–643
Volume 16, 6 issues
Volume 16
Issue 6, 3073–3719
Issue 5, 2459–3071
Issue 4, 1827–2458
Issue 3, 1253–1825
Issue 2, 621–1251
Issue 1, 1–620
Volume 15, 6 issues
Volume 15
Issue 6, 3107–3729
Issue 5, 2479–3106
Issue 4, 1863–2477
Issue 3, 1239–1862
Issue 2, 623–1238
Issue 1, 1–622
Volume 14, 6 issues
Volume 14
Issue 6, 3141–3763
Issue 5, 2511–3139
Issue 4, 1881–2509
Issue 3, 1249–1879
Issue 2, 627–1247
Issue 1, 1–625
Volume 13, 6 issues
Volume 13
Issue 6, 3099–3731
Issue 5, 2471–3097
Issue 4, 1857–2469
Issue 3, 1243–1856
Issue 2, 625–1241
Issue 1, 1–624
Volume 12, 4 issues
Volume 12
Issue 4, 1901–2517
Issue 3, 1265–1899
Issue 2, 643–1263
Issue 1, 1–641
Volume 11, 5 issues
Volume 11
Issue 5, 2477–3084
Issue 4, 1861–2475
Issue 3, 1243–1860
Issue 2, 625–1242
Issue 1, 1–624
Volume 10, 4 issues
Volume 10
Issue 4, 1865–2468
Issue 3, 1245–1863
Issue 2, 627–1244
Issue 1, 1–625
Volume 9, 4 issues
Volume 9
Issue 4, 1885–2502
Issue 3, 1255–1883
Issue 2, 625–1254
Issue 1, 1–624
Volume 8, 4 issues
Volume 8
Issue 4, 1855–2414
Issue 3, 1223–1853
Issue 2, 615–1222
Issue 1, 1–613
Volume 7, 4 issues
Volume 7
Issue 4, 1633–2270
Issue 3, 1135–1632
Issue 2, 529–1134
Issue 1, 1–528
Volume 6, 5 issues
Volume 6
Issue 5, 2031–2518
Issue 4, 1519–2029
Issue 3, 1025–1517
Issue 2, 513–1024
Issue 1, 1–512
Volume 5, 4 issues
Volume 5
Issue 4, 1291–1732
Issue 3, 865–1290
Issue 2, 443–864
Issue 1, 1–442
Volume 4, 2 issues
Volume 4
Issue 2, 647–1272
Issue 1, 1–645
Volume 3, 2 issues
Volume 3
Issue 2, 623–1292
Issue 1, 1–622
Volume 2, 2 issues
Volume 2
Issue 2, 591–1204
Issue 1, 1–590
Volume 1, 2 issues
Volume 1
Issue 2, 627–790
Issue 1, 1–625
1
J Adámek , J
Rosický , Locally presentable
and accessible categories , 189, Cambridge University
Press (1994) MR1294136
2
D W Anderson ,
Fibrations
and geometric realizations , Bull. Amer. Math. Soc. 84
(1978) 765 MR0500935
3
M Artin , A
Grothendieck , J L Verdier ,
Théorie des topos et cohomologie étale des schémas,
Tome 1 : Théorie
des topos, Exposés I–IV (SGA 4 1 ) , 269, Springer (1972) MR0354652
4
M Artin , B
Mazur , Etale homotopy ,
100, Springer (1969) MR0245577
5
I Barnea , M
Joachim , S Mahanta , Model structure on projective
systems of C ∗ –algebras and bivariant homology
theories , (2015) arXiv:1508.04283
6
I Barnea , T M
Schlank , Model structures
on ind-categories and the accessibility rank of weak
equivalences , Homology Homotopy Appl. 17 (2015) 235
MR3426382
7
I Barnea , T M
Schlank , A new model for
pro-categories , J. Pure Appl. Algebra 219 (2015) 1175
MR3282132
8
I Barnea , T M
Schlank , A projective model
structure on pro-simplicial sheaves, and the relative étale
homotopy type , Adv. Math. 291 (2016) 784 MR3459031
9
K S Brown ,
Abstract homotopy
theory and generalized sheaf cohomology , Trans. Amer.
Math. Soc. 186 (1973) 419 MR0341469
10
D C Cisinski ,
Catégories dérivables , Bull. Soc. Math. France 138
(2010) 317 MR2729017
11
D C Cisinski ,
Invariance de la
K –théorie par équivalences
dérivées , J. K-Theory 6 (2010) 505 MR2746284
12
D Dugger , Combinatorial model
categories have presentations , Adv. Math. 164 (2001)
177 MR1870516
13
W G Dwyer ,
D M Kan , Function
complexes in homotopical algebra , Topology 19 (1980)
427 MR584566
14
D A Edwards ,
H M Hastings , Čech and Steenrod homotopy
theories with applications to geometric topology , 542,
Springer (1976) MR0428322
15
P G Goerss ,
J F Jardine , Simplicial homotopy
theory , 174, Birkhäuser (1999) MR1711612
16
V Hinich , Dwyer–Kan
localization revisited , Homology Homotopy Appl. 18
(2016) 27 MR3460765
17
P S Hirschhorn ,
Model categories
and their localizations , 99, Amer. Math. Soc. (2003)
MR1944041
18
G Horel , Profinite
completion of operads and the Grothendieck–Teichmüller
group , preprint (2015) arXiv:1504.01605
19
G Horel , Brown categories
and bicategories , Homology Homotopy Appl. 18 (2016)
217
20
D C Isaksen ,
A
model structure on the category of pro-simplicial sets ,
Trans. Amer. Math. Soc. 353 (2001) 2805 MR1828474
21
D C Isaksen ,
Strict model
structures for pro-categories , from: "Categorical
decomposition techniques in algebraic topology" (editors G
Arone, J Hubbuck, R Levi, M Weiss), Progr. Math. 215,
Birkhäuser (2004) 179 MR2039766
22
D C Isaksen ,
Completions of
pro-spaces , Math. Z. 250 (2005) 113 MR2136405
23
J F Jardine ,
Simplicial
presheaves , J. Pure Appl. Algebra 47 (1987) 35 MR906403
24
J F Jardine ,
Fields
lectures: simplicial presheaves , lecture notes
(2007)
25
A Joyal , letter to
Grothendieck (1984)
26
A Joyal ,
The theory of quasi-categories and its applications ,
lecture notes (2008)
27
C Kapulkin , K
Szumiło , Quasicategories of frames of cofibration
categories , preprint (2015) arXiv:1506.08681v1
28
J Lurie , Higher topos
theory , 170, Princeton University Press (2009) MR2522659
29
J Lurie , Rational
and p –adic homotopy
theory , unpublished (2011)
30
J Lurie , Higher
algebra , unpublished (2014)
31
A Mazel-Gee ,
Quillen
adjunctions induce adjunctions of quasicategories , New
York J. Math. 22 (2016) 57 MR3484677
32
C V Meyer ,
Approximation
filtrante de diagrammes finis par Pro-C , Ann. Sci. Math. Québec 4 (1980) 35
MR574833
33
F Morel , Ensembles
profinis simpliciaux et interprétation géométrique du foncteur
T , Bull. Soc. Math. France
124 (1996) 347 MR1414543
34
G Quick , Continuous group
actions on profinite spaces , J. Pure Appl. Algebra 215
(2011) 1024 MR2747236
35
D G Quillen ,
Homotopical
algebra , 43, Springer (1967) MR0223432
36
A Radlescu-Banu ,
Cofibrations in homotopy theory , preprint (2006)
arXiv:math/0610009
37
H Schubert ,
Categories ,
Springer (1972) MR0349793
38
J P Serre ,
Corps locaux , VIII, Hermann (1962) 243 MR0150130
39
M A Shulman ,
Set theory for category theory , preprint (2008) arXiv:0810.1279
40
K Szumiło , Two
models for the homotopy theory of cocomplete homotopy
theories , preprint (2014) arXiv:1411.0303
41
R W Thomason ,
Homotopy
colimits in the category of small categories , Math.
Proc. Cambridge Philos. Soc. 85 (1979) 91 MR510404
42
B Toën , G
Vezzosi , Segal topoi and stacks over Segal
categories , preprint (2002) arXiv:math/0212330