Recent Issues
Volume 24, 7 issues
Volume 24
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
A Boudjaj , Y
Rami , On spaces of topological complexity two ,
preprint (2016) arXiv:1607.05346v2
2
G E Bredon ,
Equivariant
cohomology theories , 34, Springer (1967) MR0214062
3
K S Brown ,
Cohomology of
groups , 87, Springer (1982) MR672956
4
D C Cohen , G
Pruidze , Motion planning in
tori , Bull. Lond. Math. Soc. 40 (2008) 249 MR2414784
5
D C Cohen , L
Vandembroucq , Topological
complexity of the Klein bottle , J. Appl. Comput. Topol.
1 (2017) 199
6
O Cornea , G
Lupton , J Oprea , D Tanré , Lusternik–Schnirelmann
category , 103, Amer. Math. Soc. (2003) MR1990857
7
A Costa , M
Farber , Motion planning in
spaces with small fundamental groups , Commun. Contemp.
Math. 12 (2010) 107 MR2649230
8
T tom Dieck ,
Transformation
groups , 8, de Gruyter (1987) MR889050
9
A Dranishnikov ,
The topological
complexity and the homotopy cofiber of the diagonal map for
non-orientable surfaces , Proc. Amer. Math. Soc. 144
(2016) 4999 MR3544546
10
A N Dranishnikov ,
Y B Rudyak , On the
Berstein–Svarc theorem in dimension 2 , Math. Proc. Cambridge Philos. Soc.
146 (2009) 407 MR2475974
11
S Eilenberg , T
Ganea , On the
Lusternik–Schnirelmann category of abstract groups ,
Ann. of Math. 65 (1957) 517 MR0085510
12
M Farber , Topological
complexity of motion planning , Discrete Comput. Geom.
29 (2003) 211 MR1957228
13
M Farber , Topology of robot
motion planning , from: "Morse theoretic methods in
nonlinear analysis and in symplectic topology" (editors P
Biran, O Cornea, F Lalonde), NATO Sci. Ser. II Math. Phys.
Chem. 217, Springer (2006) 185 MR2276952
14
M Farber , Invitation to topological
robotics , Eur. Math. Soc. (2008) MR2455573
15
M Farber ,
Configuration spaces and robot motion planning
algorithms , from: "Combinatorial and toric homotopy"
(editors A Darby, J Grbic, Z Lü, J Wu), Lect. Notes Ser. Inst.
Math. Sci. Natl. Univ. Singap. 35, World Sci. (2018) 263
MR3792464
16
M Farber , M
Grant , G Lupton , J Oprea , An upper bound
for topological complexity , Topology Appl. 255 (2019)
109 MR3905237
17
M Farber , S
Mescher , On the topological complexity of aspherical
spaces , preprint (2017) arXiv:1708.06732
18
M Farber , J
Oprea , Higher
topological complexity of aspherical spaces , Topology
Appl. 258 (2019) 142 MR3924508
19
M Farber , S
Tabachnikov , S Yuzvinsky , Topological
robotics: motion planning in projective spaces , Int.
Math. Res. Not. 2003 (2003) 1853 MR1988783
20
M Farber , S
Yuzvinsky , Topological robotics:
subspace arrangements and collision free motion
planning , from: "Geometry, topology, and mathematical
physics" (editors V M Buchstaber, I M Krichever),
Amer. Math. Soc. Transl. Ser. 2 212, Amer. Math. Soc. (2004)
145 MR2070052
21
M Fluch , On Bredon
(co-)homological dimensions of groups , PhD thesis,
University of Southhampton (2011) arXiv:1009.4633
22
M Grant , Topological
complexity, fibrations and symmetry , Topology Appl. 159
(2012) 88 MR2852952
23
M Grant , G
Lupton , J Oprea , Spaces of
topological complexity one , Homology Homotopy Appl. 15
(2013) 73 MR3117387
24
M Grant , G
Lupton , J Oprea , A mapping theorem
for topological complexity , Algebr. Geom. Topol. 15
(2015) 1643 MR3361146
25
M Grant , G
Lupton , J Oprea , New lower bounds
for the topological complexity of aspherical spaces ,
Topology Appl. 189 (2015) 78 MR3342573
26
M Grant , D
Recio-Mitter , Topological complexity
of subgroups of Artin’s braid groups , from:
"Topological complexity and related topics" (editors M Grant, G
Lupton, L Vandembroucq), Contemp. Math. 702, Amer. Math. Soc.
(2018) 165 MR3762839
27
D Husemoller ,
Fibre
bundles , McGraw-Hill (1966) MR0229247
28
W Lück , Transformation groups and
algebraic K –theory , 1408,
Springer (1989) MR1027600
29
W Lück , Survey on classifying
spaces for families of subgroups , from: "Infinite
groups: geometric, combinatorial and dynamical aspects"
(editors L Bartholdi, T Ceccherini-Silberstein, T
Smirnova-Nagnibeda, A Zuk), Progr. Math. 248, Birkhäuser (2005)
269 MR2195456
30
S Mac Lane ,
Homology ,
114, Academic (1963) MR0156879
31
J P May ,
Equivariant
homotopy and cohomology theory , 91, Amer. Math. Soc.
(1996) MR1413302
32
J Milnor , On spaces having the homotopy
type of a CW –complex ,
Trans. Amer. Math. Soc. 90 (1959) 272 MR0100267
33
G Mislin , Equivariant
K –homology of the classifying
space for proper actions , from: "Proper group actions
and the Baum–Connes conjecture", Birkhäuser (2003) 1 MR2027169
34
Y Rudyak , On topological
complexity of Eilenberg–MacLane spaces , Topology Proc.
48 (2016) 65 MR3340274
35
A S Schwarz ,
The genus of a fiber
space , Trudy Moskov. Mat. Obšč. 10 (1961) 217 MR0154284
36
A S Schwarz ,
The genus of a fiber
space , Trudy Moskov Mat. Obšč. 11 (1962) 99 MR0151982
37
G W Whitehead ,
Elements
of homotopy theory , 61, Springer (1978) MR516508