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math.MG1998
A knotted minimal tree
Krystyna Kuperberg
This paper contains a construction of a finite set X in the boundary of the unit 3-ball in R^3 whose minimal tree is knotted. The example answers Problem 5.17 in ''Problems in Low-…
math.GN1998
Bihomogeneity and Menger manifolds
Krystyna Kuperberg
For every triple of integers a, b, and c, such that a>O, b>0, and c>1, there is a homogeneous, non-bihomogeneous continuum whose every point has a neighborhood homeomorphic the Car…
math.MG1998
Almost-tiling the plane by ellipses
Krystyna Kuperberg, Włodzimierz Kuperberg, Jiří Matoušek +1
For any delta > 1 we construct a periodic and locally finite packing of the plane with ellipses whose delta-enlargement covers the whole plane. This answers a question of Imre Bárá…