12 citations · 54 across the 47 of their papers we have counts for
57 papers
Geodesic complexity of a cube
Donald M. Davis
The topological (resp. geodesic) complexity of a topological (resp. metric) space is roughly the smallest number of continuous rules required to choose paths (resp. shortest paths)…
Geodesic complexity of a tetrahedron
Donald M. Davis
We prove that the geodesic complexity of a regular tetrahedron exceeds its topological complexity by 1 or 2. The proof involves a careful analysis of minimal geodesics on the tetra…
Isomorphism classes of cut loci for a cube
Donald M Davis, Manyi Guo
We prove that a face of a cube can be optimally partitioned into connected 193 sets on which the cut locus, or ridge tree, is constant up to isomorphism as a labeled graph. These a…
The connective K-theory of the Eilenberg-MacLane space K(Z/p,2)
Donald M. Davis, W. Stephen Wilson
We compute ku^*(K(Z/p,2)) and ku_*(K(Z/p,2)), the connective KU-cohomology and connective KU-homology groups of the mod-p Eilenberg-MacLane space K(Z/p,2), using the Adams spectral…
The connective Morava K-theory of the second mod p Eilenberg-MacLane space
Donald M. Davis, Douglas C. Ravenel, W. Stephen Wilson
We develop tools for computing the connective n-th Morava K-theory of spaces. Starting with a Universal Coefficient Theorem that computes the cohomology version from the homology v…
Gorenstein Duality and Universal Coefficient Theorems
Donald M. Davis, J. P. C. Greenlees
The paper describes a duality phenomenon for cohomology theories with the character of Gorenstein rings. For a connective cohomology theory with the p-local integers in degree 0, a…