3 papers
math.AG2025
Algebraic normalisation
Adam BiaÅożyt
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…
math.DG2025
Medial Axis in Pseudo-Euclidean Spaces
Adam BiaÅożyt
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…
math.AG2024
Medial axis detects non-Lipschitz normally embedded points
Adam BiaÅożyt
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.