7 citations · 38 across the 19 of their papers we have counts for
4 papers · 1 filter
Approximations by disjoint continua and a positive entropy conjecture
David Sumner Lipham
E.D. Tymchatyn constructed a hereditarily locally connected continuum which can be approximated by a sequence of mutually disjoint arcs. We show the example re-opens a conjecture o…
Compactification of cut-point spaces
David S. Lipham
We show that if is a separable locally compact Hausdorff connected space with fewer than non-cut points, then embeds into a dendrite …
A note on the topology of escaping endpoints
David Sumner Lipham
We study topological properties of the escaping endpoints and fast escaping endpoints of the Julia set of complex exponential when . We show neither…
Dispersion points and rational curves
David Sumner Lipham
We construct two connected plane sets which can be embedded into rational curves. The first is a biconnected set with a dispersion point. It answers a question of Joachim Grispolak…