Recent Issues
Volume 26, 4 issues
Volume 26
Issue 4, 1229–1596
Issue 3, 825–1227
Issue 2, 411–824
Issue 1, 1–410
Volume 25, 9 issues
Volume 25
Issue 9, 5175–5754
Issue 8, 4437–5174
Issue 7, 3789–4436
Issue 6, 3145–3787
Issue 5, 2527–3144
Issue 4, 1917–2526
Issue 3, 1265–1915
Issue 2, 645–1264
Issue 1, 1–644
Volume 24, 9 issues
Volume 24
Issue 9, 4731–5219
Issue 8, 4139–4730
Issue 7, 3571–4137
Issue 6, 2971–3570
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
N A’Campo , D
Kotschick , Contact structures,
foliations, and the fundamental group , Bull. London
Math. Soc. 26 (1994) 102 MR1246478
2
M Arkowitz ,
Introduction
to homotopy theory , Springer (2011) MR2814476
3
D Barden , Simply connected
five-manifolds , Ann. of Math. (2) 82 (1965) 365 MR184241
4
H J Baues ,
Homotopy type and homology , Oxford University Press
(1996) MR1404516
5
K Borsuk , Sur les
groupes des classes de transformations continues , C. R.
Acad. Sci. Paris 202 (1936) 1400
6
E H Brown Jr. ,
The cohomology of
BSO n and BO n with integer coefficients ,
Proc. Amer. Math. Soc. 85 (1982) 283 MR652459
7
S Choi , S Kaji ,
S Theriault , Homotopy
decomposition of a suspended real toric space , Bol.
Soc. Mat. Mex. (3) 23 (2017) 153
MR3633130
8
T Cutler , T So ,
The
homotopy type of a once-suspended 6 -manifold and its applications ,
Topology Appl. 318 (2022) 108213 MR4467248
9
S Gitler , J D
Stasheff , The first exotic
class of BF , Topology 4
(1965) 257 MR180985
10
I Hambleton , Y
Su , On
certain 5 -manifolds with
fundamental group of order 2 , Q. J. Math. 64 (2013) 149 MR3032093
11
J R Harper ,
Secondary
cohomology operations , 49, Amer. Math. Soc. (2002)
MR1913285
12
S Hasui , D
Kishimoto , T Sato , p -local stable splitting of quasitoric
manifolds , Osaka J. Math. 53 (2016) 843 MR3533472
13
R Huang , Homotopy of gauge
groups over non-simply connected five-dimensional
manifolds , Sci. China Math. 64 (2021) 1061 MR4249235
14
R Huang , Homotopy of gauge groups
over high-dimensional manifolds , Proc. Roy. Soc.
Edinburgh Sect. A 152 (2022) 182 MR4383247
15
R Huang , Suspension homotopy
of 6 -manifolds , Algebr.
Geom. Topol. 23 (2023) 439 MR4568008
16
R Huang , P Li ,
Suspension
splitting and cohomotopy sets of simply connected 7 -manifolds , Canadian Journal of
Mathematics (2025) 1
17
I M James ,
J H C Whitehead , The homotopy theory
of sphere bundles over spheres, I , Proc. London Math.
Soc. (3) 4 (1954) 196 MR61838
18
M Jung , T O
Rot , A geometric
computation of cohomotopy groups in codegree one ,
Algebr. Geom. Topol. 25 (2025) 3603 MR4972721
19
S Kaji , S
Theriault , Suspension
splittings and self-maps of flag manifolds , Acta Math.
Sin. ( Engl. Ser.) 35 (2019) 445 MR3928400
20
R Kirby , P
Melvin , P Teichner , Cohomotopy sets of
4 -manifolds , from:
"Proceedings of the Freedman Fest" (editors R Kirby, V
Krushkal, Z Wang), Geom. Topol. Monogr. 18, Geom. Topol. Publ.
(2012) 161 MR3084237
21
P Konstantis ,
Vector
bundles and cohomotopies of spin 5 -manifolds , Homology Homotopy Appl. 23
(2021) 143 MR4145999
22
M Kreck , Y Su ,
On
5 -manifolds with free fundamental
group and simple boundary links in S 5 , Geom. Topol. 21 (2017) 2989
MR3687112
23
P Li , Homotopy types of
suspended 4 -manifolds ,
Algebr. Geom. Topol. 24 (2024) 2933 MR4790757
24
P Li , J Pan ,
J Wu , On modular
cohomotopy groups , Israel J. Math. 253 (2023) 887
MR4575431
25
P Li , Z Zhu ,
The homotopy
decomposition of the suspension of a non-simply-connected
five-manifold , Proc. Royal Soc. Edin. Sec. A Math
(2024)
26
I Madsen , R J
Milgram , The classifying spaces for surgery and
cobordism of manifolds , 92, Princeton Univ. Press (1979)
MR548575
27
J McCleary , A
user’s guide to spectral sequences , 58, Cambridge Univ.
Press (2001) MR1793722
28
R E Mosher ,
M C Tangora , Cohomology operations and
applications in homotopy theory , Harper & Row (1968)
MR226634
29
F P Peterson ,
Generalized
cohomotopy groups , Amer. J. Math. 78 (1956) 259
MR84136
30
S Smale , On the structure of
manifolds , Amer. J. Math. 84 (1962) 387 MR153022
31
T So , S
Theriault , The suspension of a
4 -manifold and its
applications , Israel J. Math. 265 (2025) 115 MR4870828
32
E Spanier , Borsuk’s cohomotopy
groups , Ann. of Math. (2)
50 (1949) 203 MR29170
33
N E Steenrod ,
Products of
cocycles and extensions of mappings , Ann. of Math.
(2) 48 (1947) 290 MR22071
34
R Stöcker , On the structure of
5 -dimensional Poincaré duality
spaces , Comment. Math. Helv. 57 (1982) 481 MR689075
35
L R Taylor ,
The
principal fibration sequence and the second cohomotopy
set , from: "Proceedings of the Freedman Fest" (editors
R Kirby, V Krushkal, Z Wang), Geom. Topol. Monogr. 18, Geom.
Topol. Publ. (2012) 235 MR3084240
36
J Wu , Homotopy theory of the
suspensions of the projective plane , 769 (2003)
MR1955357
37
A V Zhubr ,
On a paper
by Barden , J. Math. Sci. 119 (2004) 35