Recent Issues
Volume 26, 5 issues
Volume 26
Issue 5, 1597–1963
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
Polyhedral
coproducts
Steven Amelotte, William Hornslien and Lewis Stanton
Algebraic & Geometric Topology 26 (2026) 1781–1800
1
A Bahri , M
Bendersky , F R Cohen , Polyhedral products
and features of their homotopy theory , from: "Handbook
of homotopy theory" (editor H Miller), CRC Press (2020) 103
MR4197983
2
A Bahri , M
Bendersky , F R Cohen , S Gitler ,
Decompositions of the
polyhedral product functor with applications to moment-angle
complexes and related spaces , Proc. Natl. Acad. Sci.
USA 106 (2009) 12241 MR2539227
3
A Bahri , M
Bendersky , F R Cohen , S Gitler ,
The
polyhedral product functor : a method of decomposition for
moment-angle complexes, arrangements and related
spaces , Adv. Math. 225 (2010) 1634 MR2673742
4
V M Buchstaber ,
T E Panov , Actions of tori, combinatorial
topology and homological algebra , Uspekhi Mat. Nauk 55
(2000) 3 MR1799011
5
G Denham , A I
Suciu , Moment-angle
complexes, monomial ideals and Massey products , Pure
Appl. Math. Q. 3 (2007) 25 MR2330154
6
T Ganea , A generalization of the
homology and homotopy suspension , Comment. Math. Helv.
39 (1965) 295 MR179791
7
J Grbić , S
Theriault , The homotopy type
of the polyhedral product for shifted complexes , Adv.
Math. 245 (2013) 690 MR3084441
8
Y Hao , Q Sun ,
S Theriault , Moore’s conjecture
for polyhedral products , Math. Proc. Cambridge Philos.
Soc. 167 (2019) 23 MR3968818
9
P J Hilton ,
On the
homotopy groups of the union of spheres , J. London
Math. Soc. 30 (1955) 154 MR68218
10
M Hovey , Lusternik–Schnirelmann
cocategory , Illinois J. Math. 37 (1993) 224 MR1208820
11
K Iriye , D
Kishimoto , Decompositions of
polyhedral products for shifted complexes , Adv. Math.
245 (2013) 716 MR3084442
12
K Iriye , D
Kishimoto , Fat-wedge
filtration and decomposition of polyhedral products ,
Kyoto J. Math. 59 (2019) 1 MR3934622
13
D Kishimoto , R
Levi , Polyhedral
products over finite posets , Kyoto J. Math. 62 (2022)
615 MR4517998
14
M Mather , Pull-backs in homotopy
theory , Canadian J. Math. 28 (1976) 225 MR402694
15
J W Milnor ,
On
the construction FK , from:
"Algebraic topology : a student’s guide" (editor J F
Adams), Lond. Math. Soc. Lect. Note Ser. 4, Cambridge Univ.
Press (1972) 118
16
D Notbohm , N
Ray , On
Davis–Januszkiewicz homotopy types, I : Formality and
rationalisation , Algebr. Geom. Topol. 5 (2005) 31
MR2135544
17
T Panov , S
Theriault , The homotopy theory
of polyhedral products associated with flag complexes ,
Compos. Math. 155 (2019) 206 MR3880029
18
G J Porter ,
The homotopy
groups of wedges of suspensions , Amer. J. Math. 88
(1966) 655 MR200926
19
L Stanton , Loop space
decompositions of moment-angle complexes associated to flag
complexes , Q. J. Math. 75 (2024) 457 MR4765779
20
S Theriault ,
The dual
polyhedral product, cocategory and nilpotence , Adv.
Math. 340 (2018) 138 MR3886166
21
V Welker , G M
Ziegler , R T Živaljević , Homotopy
colimits—comparison lemmas for combinatorial
applications , J. Reine Angew. Math. 509 (1999) 117
MR1679169