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Mark Grant


    • 92 Citations
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    Topological Complexity Mathematics
    Motion Planning Mathematics
    Lusternik-Schnirelmann Category Mathematics
    Hopf Invariant Mathematics
    Subgroup Mathematics
    Braid Group Mathematics
    Immersion Mathematics
    Homology Mathematics

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    Research Output 2007 2019

    2 Citations (Scopus)

    An upper bound for topological complexity

    Farber, M., Grant, M., Lupton, G. & Oprea, J., 15 Mar 2019, In : Topology and its Applications. 255, p. 109-125 17 p.

    Research output: Contribution to journalArticle

    Topological Complexity
    Upper bound
    Universal Cover
    Simplicial Complex
    2 Citations (Scopus)
    20 Downloads (Pure)

    Bredon cohomology and robot motion planning

    Farber, M., Grant, M., Lupton, G. & Oprea, J., 16 Aug 2019, In : Algebraic & Geometric Topology. 19, 4, p. 2023-2059 37 p.

    Research output: Contribution to journalArticle

    Motion Planning
    Torsion-free Group
    3 Downloads (Pure)

    Directed topological complexity of spheres

    Borat, A. & Grant, M., 7 Sep 2019, In : Journal of applied and computational topology. 7 p.

    Research output: Contribution to journalArticle

    Open Access
    Topological Complexity
    Homotopy Equivalence

    Hopf Invariants for sectional category with applications to topological robotics

    González, J., Grant, M. & Vandembroucq, L., Dec 2019, In : Quarterly Journal of Mathematics. 70, 4, p. 1209-1252 43 p.

    Research output: Contribution to journalArticle

    Hopf Invariant
    Topological Complexity
    Lusternik-Schnirelmann Category
    Cell Complex

    Morita Invariance of Equivariant Lusternik-Schnirelmann Category and Invariant Topological Complexity

    Angel, A., Colman, H., Grant, M. & Oprea, J., 14 Aug 2019, (Submitted) ArXiv, 14 p.

    Research output: Working paper

    Lusternik-Schnirelmann Category
    Topological Complexity
    Morita Equivalence