Algebraic & Geometric Topology Volume 12, issue 4 (2012)

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Equivariant topological complexity

Hellen Colman and Mark Grant

Algebraic & Geometric Topology 12 (2012) 2299–2316

DOI: 10.2140/agt.2012.12.2299

Bibliography

1	I Basabe, J González, Y B Rudyak, D Tamaki, Higher topological complexity and homotopy dimension of configuration spaces on spheres arXiv:1009.1851
2	I Berstein, T Ganea, The category of a map and of a cohomology class, Fund. Math. 50 (1961/1962) 265 MR0139168
3	G Cicortaş, Categorical sequences and applications, Studia Univ. Babeş-Bolyai Math. 47 (2002) 31 MR1989588
4	H Colman, Equivariant LS–category for finite group actions, from: "Lusternik–Schnirelmann category and related topics" (editors O Cornea, G Lupton, J Oprea, D Tanré), Contemp. Math. 316, Amer. Math. Soc. (2002) 35 MR1962151
5	O Cornea, G Lupton, J Oprea, D Tanré, Lusternik–Schnirelmann category, 103, Amer. Math. Soc. (2003) MR1990857
6	T tom Dieck, Transformation groups, 8, Walter de Gruyter & Co. (1987) MR889050
7	E Fadell, The equivariant Ljusternik–Schnirelmann method for invariant functionals and relative cohomological index theories, from: "Topological methods in nonlinear analysis" (editor A Granas), Sém. Math. Sup. 95, Presses Univ. Montréal (1985) 41 MR801933
8	M Farber, Topological complexity of motion planning, Discrete Comput. Geom. 29 (2003) 211 MR1957228
9	M Farber, Instabilities of robot motion, Topology Appl. 140 (2004) 245 MR2074919
10	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
11	R H Fox, On the Lusternik–Schnirelmann category, Ann. of Math. 42 (1941) 333 MR0004108
12	J González, P Landweber, Symmetric topological complexity of projective and lens spaces, Algebr. Geom. Topol. 9 (2009) 473 MR2491582
13	M Grant, Topological complexity, fibrations and symmetry, Topology Appl. 159 (2012) 88 MR2852952
14	I M James, On category, in the sense of Lusternik–Schnirelmann, Topology 17 (1978) 331 MR516214
15	W Marzantowicz, A G-Lusternik–Schnirelman category of space with an action of a compact Lie group, Topology 28 (1989) 403 MR1030984
16	W Singhof, On the Lusternik–Schnirelmann category of Lie groups, Math. Z. 145 (1975) 111 MR0391075
17	S Smale, On the topology of algorithms. I, J. Complexity 3 (1987) 81 MR907191
18	E H Spanier, Algebraic topology, McGraw-Hill (1966) MR0210112
19	V A Vasiliev, Cohomology of braid groups and the complexity of algorithms, Funktsional. Anal. i Prilozhen. 22 (1988) 15, 96 MR961758
20	A S Švarc, The genus of a fiber space. I, II., Amer. Math. Soc. Transl. 55 (1966) 49