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Mark Grant

Dr

    • AB24 3UE

    • 70 Citations
    20072019
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    • 2 Similar Profiles
    Topological Complexity Mathematics
    Motion Planning Mathematics
    Hopf Invariant Mathematics
    Lusternik-Schnirelmann Category Mathematics
    Subgroup Mathematics
    Braid Group Mathematics
    Immersion Mathematics
    Homology Mathematics

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    Research Output 2007 2019

    • 70 Citations
    • 20 Article
    • 3 Conference contribution
    • 1 Book
    • 1 Chapter (peer-reviewed)
    1 Citation (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
    Invariant
    Universal Cover
    Simplicial Complex

    Bredon cohomology and robot motion planning

    Farber, M., Grant, M., Lupton, G. & Oprea, J., 15 Jan 2019, (Accepted/In press) In : Algebraic & Geometric Topology.

    Research output: Contribution to journalArticle

    Motion Planning
    Classifying Space
    Cohomology
    Robot
    Denote

    Hopf Invariants for sectional category with applications to topological robotics

    González, J., Grant, M. & Vandembroucq, L., 2 Apr 2019, (Accepted/In press) In : Quarterly Journal of Mathematics. 38 p.

    Research output: Contribution to journalArticle

    Hopf Invariant
    Topological Complexity
    Robotics
    Lusternik-Schnirelmann Category
    Cell Complex
    4 Downloads (Pure)

    Symmetrized topological complexity

    Grant, M., 1 Jun 2019, In : Journal of Topology and Analysis. 11, 2, p. 387-403 17 p.

    Research output: Contribution to journalArticle

    Open Access
    File
    Topological Complexity
    Obstruction Theory
    Equivariant
    Cohomology
    Upper and Lower Bounds
    14 Downloads (Pure)

    Hopf invariants, topological complexity, and LS-category of the cofiber of the diagonal map for two-cell complexes

    González, J., Grant, M. & Vandembroucq, L., 2018, Topological complexity and related topics. Grant, M., Lupton, G. & Vandembroucq, L. (eds.). American Mathematical Society, Vol. 702. p. 133-150 18 p. (Contemporary Mathematics).

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

    Open Access
    File
    Hopf Invariant
    Topological Complexity
    Cell Complex
    Lusternik-Schnirelmann Category
    Range of data