Algebraic & Geometric Topology Volume 15, issue 3 (2015)

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ISSN (electronic): 1472-2739

ISSN (print): 1472-2747

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A mapping theorem for topological complexity

Mark Grant, Gregory Lupton and John Oprea

Algebraic & Geometric Topology 15 (2015) 1643–1666

DOI: 10.2140/agt.2015.15.1643

Bibliography

1	L L Avramov, Free Lie subalgebras of the cohomology of local rings, Trans. Amer. Math. Soc. 270 (1982) 589 MR645332
2	I Basabe, J González, Y B Rudyak, D Tamaki, Higher topological complexity and its symmetrization, Algebraic & Geometric Topology 14 (2014) 2103
3	R Bøgvad, C Jacobsson, Graded Lie algebras of depth one, Manuscripta Math. 66 (1989) 153 MR1027305
4	O Cornea, G Lupton, J Oprea, D Tanré, Lusternik–Schnirelmann category, Mathematical Surveys and Monographs 103, Amer. Math. Soc. (2003) MR1990857
5	A Costa, M Farber, Motion planning in spaces with small fundamental groups, Commun. Contemp. Math. 12 (2010) 107 MR2649230
6	A Dranishnikov, Topological complexity of wedges and covering maps, Proc. Amer. Math. Soc. 142 (2014) 4365 MR3267004
7	M Farber, Topological complexity of motion planning, Discrete Comput. Geom. 29 (2003) 211 MR1957228
8	M Farber, Instabilities of robot motion, Topology Appl. 140 (2004) 245 MR2074919
9	Y Félix, S Halperin, Rational LS category and its applications, Trans. Amer. Math. Soc. 273 (1982) 1 MR664027
10	Y Félix, S Halperin, J M Lemaire, The rational LS category of products and of Poincaré duality complexes, Topology 37 (1998) 749 MR1607732
11	Y Félix, S Halperin, J C Thomas, Sur l'homotopie des espaces de catégorie $2$, Math. Scand. 55 (1984) 216 MR787198
12	Y Félix, S Halperin, J C Thomas, Rational homotopy theory, Graduate Texts in Mathematics 205, Springer (2001) MR1802847
13	Y Félix, J Oprea, D Tanré, Algebraic Models in Geometry, Oxford Graduate Texts in Mathematics 17, Oxford Univ. Press (2008)
14	Y Félix, J C Thomas, Sur la structure des espaces de LS catégorie deux, Illinois J. Math. 30 (1986) 574 MR857212
15	L Fernández Suárez, P Ghienne, T Kahl, L Vandembroucq, Joins of DGA modules and sectional category, Algebr. Geom. Topol. 6 (2006) 119 MR2199456
16	M Grant, G Lupton, J Oprea, Spaces of topological complexity one, Homology Homotopy Appl. 15 (2013) 73 MR3117387
17	M Grant, G Lupton, J Oprea, New lower bounds for the topological complexity of aspherical spaces, Topol. Appl. 189 (2015) 78
18	P Hilton, G Mislin, J Roitberg, Localization of nilpotent groups and spaces, Math. Studies 15, North-Holland (1975) MR0478146
19	B Jessup, A Murillo, P E Parent, Rational topological complexity, Algebr. Geom. Topol. 12 (2012) 1789 MR2979997
20	G Lupton, J Scherer, Topological complexity of $H$–spaces, Proc. Amer. Math. Soc. 141 (2013) 1827 MR3020869
21	J McCleary, Homotopy theory and closed geodesics, from: "Homotopy theory and related topics", Lecture Notes in Math. 1418, Springer (1990) 86 MR1048178
22	Y B Rudyak, On higher analogs of topological complexity, Topology Appl. 157 (2010) 916 MR2593704
23	Y B Rudyak, Erratum to “On higher analogs of topological complexity” [Topology Appl. 157 (2010) 916–920], Topology Appl. 157 (2010) 1118 MR2593724
24	W Singhof, On the Lusternik–Schnirelmann category of Lie groups, Math. Z. 145 (1975) 111 MR0391075
25	G H Toomer, Topological localization, category and cocategory, Canad. J. Math. 27 (1975) 319 MR0370571
26	G W Whitehead, Elements of homotopy theory, Graduate Texts in Mathematics 61, Springer (1978) MR516508