Tight span of subsets of the plane with the maximum metric

04/11/2017 - 4:15pm
04/11/2017 - 5:15pm
Mehmet Kilic (Anadolu University; CMC)

 We prove that a nonempty closed and geodesically convex subset of the lplane R2is hyperconvex and we characterize the tight spans of arbitrary subsets of R2via this property: Given any nonempty X R2, a closed, geodesically convex and minimal subset Y R2containing X is isometric to the tight span T(X) of X.

CMC, Robert 105