7 citations · 38 across the 19 of their papers we have counts for
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math.GN2020★ 1 cited
Exponential iteration and Borel sets
David S. Lipham
We determine the exact Borel class of the points whose iterates under tend to infinity. We also prove that the sets of non-escaping Julia points for many of these funct…
math.GN2020★ 1 cited
A characterization of Erdős space factors
David S. Lipham
We prove that an almost zero-dimensional space is an Erdős space factor if and only if has a Sierpiński stratification of C-sets. We apply this characterization to spaces w…
math.GN2020★ 6 cited
On cohesive almost zero-dimensional spaces
Jan J. Dijkstra, David S. Lipham
We investigate C-sets in almost zero-dimensional spaces, showing that closed C-sets are C-sets. As corollaries, we prove that every rim--compact almost zero-dimensional space…