251 citations · 343 across the 22 of their papers we have counts for
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Conditions for the difference set of a central Cantor set to be a Cantorval. Part II
Piotr Nowakowski
Let C(a) be the central Cantor set generated by a sequence a with terms in (0,1). It is known that the difference set C(a)-C(a) of C(a) can has one of three possible forms: a finit…
Characterization of the algebraic difference of special affine Cantor sets
Piotr Nowakowski
We investigate some self-similar Cantor sets , which we call S-Cantor sets, generated by numbers , . We give a full characterization of the s…
Cutting sets of continuous functions on the unit interval
Marek Balcerzak, Piotr Nowakowski, Michał Popławski
For a function , we consider the set of points at which cuts the real axis. Given and a Cantor set $D\subset [0,1]…
When the algebraic difference of two central Cantor sets is an interval?
Piotr Nowakowski
Let be the central Cantor sets generated by sequences . The first main result of the paper gives a necessary and a suf…
Conditions for the difference set of a central Cantor set to be a Cantorval
Piotr Nowakowski, Tomasz Filipczak
Let denote the central Cantor set generated by a sequence . By the known trichot…