Publications:

Recent publications:

\M. Farber, M. Grant, G. Lupton and J. Oprea, Bredon cohomology and robot motion planning. Algebraic and Geometric Topology, 19 (2019), 2023--2059.

\G. Lupton and S. Smith, The Rational Sectional Category of Certain Universal Fibrations. Revista Matematica Complutense, 33 (2020), 187--196.

G. Lupton and S. Smith, The Universal Fibration with Fibre X in Rational Homotopy Theory. J. of Homotopy and Related Structures, 15 (2020), 351--368.

G. Lupton, J. Oprea and N. Scoville, A Fundamental Group for Digital Images. J.  of Applied and Computational Topology 5 (2) (2021), 249--311.

G. Lupton, J. Oprea and N. Scoville, Homotopy Theory in Digital Topology. Discrete and Computational Geometry 67 (1) (2022), 112--165.

G. Bazzoni, G. Lupton and J. Oprea, Homotopy invariants and almost non-negative curvature.  Mathematische  Zeitschrift 300 (2), (2022), 1117--1140.

G. Lupton, J. Oprea and N. Scoville, Subdivision of Maps of Digital Images. Discrete and Computational Geometry 67 (3) (2022), 698--742.

G. Lupton and N. Scoville, Digital Fundamental Groups and Edge Groups of Clique Complexes. J.  of Applied and Computational Topology 6 (4) (2022), 529--558.

G. Lupton, J. Oprea and N. Scoville, The Digital Hopf Construction. Topology and its Applications, 326 (2023), 1--19.