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
M Artin , B
Mazur , On the van
Kampen theorem , Topology 5 (1966) 179 MR0192495
2
J C Baez , J
Dolan , Higher-dimensional algebra
and topological quantum field theory , J. Math. Phys. 36
(1995) 6073 MR1355899
3
M A Batanin ,
Monoidal
globular categories as a natural environment for the theory of
weak $n$–categories , Adv. Math. 136 (1998) 39 MR1623672
4
H J Baues ,
Combinatorial
homotopy and $4$–dimensional complexes , de Gruyter
Expositions in Mathematics 2, de Gruyter (1991) MR1096295
5
H J Baues , The
algebra of secondary cohomology operations , Progress in
Mathematics 247, Birkhäuser, Basel (2006) MR2220189
6
H J Baues , D
Blanc , Higher order derived functors arXiv:1210.7437
7
H J Baues , D
Blanc , Stems and spectral
sequences , Algebr. Geom. Topol. 10 (2010) 2061 MR2728484
8
H J Baues , D
Blanc , Higher order
derived functors and the Adams spectral sequence , J.
Pure Appl. Algebr 219 (2015) 199 MR3250522
9
H J Baues , G
Wirsching , Cohomology of
small categories , J. Pure Appl. Algebra 38 (1985) 187
MR814176
10
C Berger , Double loop spaces,
braided monoidal categories and algebraic $3$–type of
space , from: "Higher homotopy structures in topology
and mathematical physics", Contemp. Math. 227, Amer. Math. Soc.
(1999) 49 MR1665460
11
D Blanc , S
Paoli , Two-track
categories , J. $K\!$–Theory 8 (2011) 59 MR2826280
12
F Borceux , Handbook
of categorical algebra $1$: Basic category theory , Encycl.
Math. Appl. 50, Cambridge Univ. Press (1994) MR1291599
13
F Borceux , Handbook
of categorical algebra $2$: Categories and structures ,
Encycl. Math. Appl. 51, Cambridge Univ. Press (1994) MR1313497
14
A K Bousfield ,
E M Friedlander , Homotopy theory of
$\Gamma$–spaces, spectra, and bisimplicial sets , from:
"Geometric applications of homotopy theory, II", Lecture Notes
in Math. 658, Springer, Berlin (1978) 80 MR513569
15
A K Bousfield ,
D M Kan , Homotopy limits, completions and
localizations , Lecture Notes in Mathematics 304, Springer
(1972) MR0365573
16
R Brown , K A
Hardie , K H Kamps , T Porter , A
homotopy double groupoid of a Hausdorff space , Theory Appl.
Categ. 10 (2002) 71 MR1883479
17
R Brown , P J
Higgins , R Sivera , Nonabelian algebraic
topology , EMS Tracts in Mathematics 15, Eur. Math. Soc.
(2011) MR2841564
18
R Brown , C B
Spencer , Double groupoids and crossed modules ,
Cahiers Topologie Géom. Différentielle 17 (1976) 343 MR0440553
19
M Bullejos ,
A M Cegarra , J Duskin , On
$\mathrm{cat}^n$–groups and homotopy types , J. Pure
Appl. Algebra 86 (1993) 135 MR1215642
20
J G Cabello ,
A R Garzón , Closed model
structures for algebraic models of $n$–types , J. Pure
Appl. Algebra 103 (1995) 287 MR1357790
21
P Carrasco ,
A M Cegarra , Group-theoretic
algebraic models for homotopy types , J. Pure Appl.
Algebra 75 (1991) 195 MR1137837
22
A M Cegarra ,
B A Heredia , J Remedios , Double groupoids
and homotopy $2$–types , Appl. Categ. Structures 20
(2012) 323 MR2943635
23
D C Cisinski ,
Batanin
higher groupoids and homotopy types , from: "Categories
in algebra, geometry and mathematical physics", Contemp. Math.
431, Amer. Math. Soc. (2007) 171 MR2342828
24
A Dold , Partitions of unity in the
theory of fibrations , Ann. of Math. 78 (1963) 223
MR0155330
25
J W Duskin ,
Simplicial matrices and the nerves of weak $n$–categories,
I: Nerves of bicategories , Theory Appl. Categ. 9 (2001/02)
198 MR1897816
26
W G Dwyer ,
D M Kan , C R Stover , The bigraded
homotopy groups $\pi_{i,j}X$ of a pointed simplicial space
$X$ , J. Pure Appl. Algebra 103 (1995) 167 MR1358761
27
P J Ehlers , T
Porter , Joins for
(augmented) simplicial sets , J. Pure Appl. Algebra 145
(2000) 37 MR1732286
28
G Ellis , R
Steiner , Higher-dimensional
crossed modules and the homotopy groups of $(n+1)$–ads ,
J. Pure Appl. Algebra 46 (1987) 117 MR897011
29
P Gabriel , M
Zisman , Calculus of fractions and homotopy theory ,
Ergeb. Math. Grenzgeb. 35, Springer (1967) MR0210125
30
P G Glenn ,
Realization of
cohomology classes in arbitrary exact categories , J.
Pure Appl. Algebra 25 (1982) 33 MR660389
31
P G Goerss ,
J F Jardine , Simplicial
homotopy theory , Progress in Mathematics 174,
Birkhäuser, Basel (1999) MR1711612
32
A Grothendieck ,
Pursuing
stacks
33
K A Hardie ,
K H Kamps , R W Kieboom , A homotopy
bigroupoid of a topological space , Appl. Categ.
Structures 9 (2001) 311 MR1836257
34
L Illusie , Complexe
cotangent et déformations, II , Lecture Notes in Mathematics
283, Springer (1972) MR0491681
35
A Joyal , R
Street , Pullbacks equivalent to pseudopullbacks ,
Cahiers Topologie Géom. Différentielle Catég. 34 (1993) 153
MR1223657
36
A Joyal , M
Tierney , Algebraic homotopy types , handwritten
lecture notes (1984)
37
O Leroy , Sur une
notion de $3$–catégorie adapté à l'homotopie , preprint,
Université Montpellier, preprint number 94-10 (1994)
38
J L Loday ,
Spaces with
finitely many nontrivial homotopy groups , J. Pure Appl.
Algebra 24 (1982) 179 MR651845
39
S MacLane ,
J H C Whitehead , On the $3$–type of a
complex , Proc. Nat. Acad. Sci. U. S. A. 36 (1950) 41
MR0033519
40
J P May , The
geometry of iterated loop spaces , Lectures Notes in
Mathematics 271, Springer (1972) MR0420610
41
I Moerdijk ,
J A Svensson , Algebraic
classification of equivariant homotopy $2$–types, I , J.
Pure Appl. Algebra 89 (1993) 187 MR1239560
42
S Paoli , Weakly globular
$\mathrm{cat}^n$–groups and Tamsamani's model , Adv.
Math. 222 (2009) 621 MR2538023
43
T Porter , $n$–types of
simplicial groups and crossed $n$–cubes , Topology 32
(1993) 5 MR1204402
44
D G Quillen ,
Spectral
sequences of a double semi-simplicial group , Topology 5
(1966) 155 MR0195097
45
G Segal , Categories and
cohomology theories , Topol. 13 (1974) 293 MR0353298
46
C Simpson , Homotopy
types of strict $3$–groupoids , arXiv:math.CT/9810059
47
C Simpson , Homotopy
theory of higher categories , New Mathematical Monographs
19, Cambridge Univ. Press (2012) MR2883823
48
Z Tamsamani ,
Sur des
notions de $n$–catégorie et $n$–groupoïde non strictes via des
ensembles multi-simpliciaux , $K\!$–Theory 16 (1999) 51
MR1673923