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DOI:

https://doi.org/10.12775/TMNA.2021.056

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Bibliografia

M. Arkowitz and J. Strom, The sectional category of a map Proc. Roy. Soc. Edinburgh Sect. A 134 (2004), no. 4, 639–652.

R. Bieri and B. Eckmann, Groups with homological duality generalizing Poincaré duality, Invent. Math. 20 (1973), 103–124.

Z. Blaszczyk, J. Carrasquel and A. Espinosa, On the sectional category of subgroup inclusions and Adamson cohomology theory, J. Pure Appl. Algebra 226 (2022), DOI:10.1016/j.jpaa.2021.106959.

D.C. Cohen, M. Farber and S. Weinberger, Topology of parametrised motion planning algorithms, SIAM J. Appl. Algebra Geom. 5 (2021), no. 2, 229–249.

D.C. Cohen, M. Farber and S. Weinberger, Parametrised topological complexity of collision-free motion planning in the plane, J. Topol. Anal. (2021), DOI: 10.1142/S1793525321500631.

D.C. Cohen and A.I. Suciu, Homology of iterated semidirect products of free groups, J. Pure Appl. Algebra 126 (1998), no. 1–3, 87–120.

A. Dranishnikov, On topological complexity of hyperbolic groups, Proc. Amer. Math. Soc. 148 (2020), no. 10, 4547–4556.

S. Eilenberg and T. Ganea, On the Lusternik–Schnirelmann category of abstract groups, Ann. of Math. (2) 65 (1957), 517–518.

E. Fadell and L. Neuwirth, Configuration spaces, Math. Scand. 10 (1962), 111–118.

M. Farber, Topological complexity of motion planning, Discrete Comput. Geom. 29 (2003), 211–221.

M. Farber, Topology of robot motion planning, Morse Theoretic Methods in Nonlinear Analysis and in Symplectic Topology, NATO Sci. Ser. II Math. Phys. Chem., vol. 217, Springer, Dordrecht, 2006, pp. 185–230.

M. Farber, M. Grant, G. Lupton and J. Oprea, Bredon cohomology and robot motion planning, Algebr. Geom. Topol. 19 (2019), no. 4, 2023–2059.

M. Farber and S. Mescher, On the topological complexity of aspherical spaces, J. Topol. Anal. 12 (2020), no. 2, 293–319.

J.M. Garcı́a Calcines, Formal aspects on parametrised topological complexity and its pointed version, arXiv:2103.10214.

M. Grant, Topological complexity, fibrations and symmetry, Topology Appl. 159 (2012), 88–97.

M. Grant, G. Lupton and J. Oprea, New lower bounds for the topological complexity of aspherical spaces, Topology Appl. 189 (2015), 78–91.

J.P. May, A Concise Course in Algebraic Topology, Chicago Lectures in Mathematics, University of Chicago Press, Chicago, IL, 1999.

J.P. May and K. Ponto, More Concise Algebraic Topology. Localization, Completion, and Model Categories, Chicago Lectures in Mathematics, University of Chicago Press, Chicago, IL, 2012.

A. Schwarz, The genus of a fiber space, Amer. Math. Soc. Transl. 55 (1966), 49–140.

J.R. Stallings, On torsion-free groups with infinitely many ends, Ann. of Math. (2) 88 (1968), 312–334.

R. Swan, Groups of cohomological dimension one, J. Algebra 12 (1969), 585–610.

Opublikowane

2022-08-31

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1.
Topological Methods in Nonlinear Analysis [online]. 31 sierpień 2022, T. 60, nr 1, s. 287–303. [udostępniono 22.7.2024]. DOI 10.12775/TMNA.2021.056.

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