1 citations · 1 across the 4 of their papers we have counts for
5 papers
Algebraic normalisation
Adam Białożyt
We present a strictly geometric c-algebraic version of the analytic set normalisation. With the introduced tool we prove the Nullstellensatz for c-algebraic functions and study the…
Medial Axis in Pseudo-Euclidean Spaces
Adam Białożyt
We investigate the notion of the medial axis for pseudo-Euclidean spaces. For most of the article, we follow the path of Birbrair and Denkowski's article "Medial Axis and Singulari…
Medial axis detects non-Lipschitz normally embedded points
Adam Białożyt
We demonstrate that every point where X - a closed subset of R^n - is not Lipschitz Normally Embedded is approached by the medial axis of X.
On the Nullstellensatz for c-holomorphic functions with algebraic graphs
Adam Białożyt, Maciej P. Denkowski, Piotr Tworzewski
C-holomorphic functions defined on algebraic sets and having algebraic graphs can be considered as a complex counterpart of regulous functions introduced recently in real geometry.…
On the growth exponent of c-holomorphic functions with algebraic graphs
Adam Białożyt, Maciej P. Denkowski, Piotr Tworzewski +1
This paper is the first of a series dealing with c-holomorphic functions defined on algebraic sets and having algebraic graphs. These functions may be seen as the complex counterpa…