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5 papers
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.…
UPC condition with parameter for subanalytic sets
Anna Denkowska, Maciej P. Denkowski
In 1986 Pawłucki and Pleśniak introduced the notion of {\sl uniformly polynomially cuspidal} (UPC) sets and proved that every relatively compact and fat subanalytic subset of ${\Rz…
Linear programming on non-compact polytopes and the Kuratowski convergence with application in economics
Anna Denkowska, Maciej Denkowski, Marta Kornafel
The aims of this article are two-fold. First, we give a geometric characterization of the optimal basic solutions of the general linear programming problem (no compactness assumpti…
The Bernstein-Walsh-Siciak Theorem for analytic hypersurfaces
Anna Denkowska, Maciej P. Denkowski
As a first step towards a general set-theoretic counterpart of the remarkable Bernstein-Walsh-Siciak Theorem concerning the rapidity of polynomial approximation of a holomorphic fu…
Erratum to: Medial axis and singularities
Lev Birbrair, Maciej P. Denkowski
We correct one erroneous statement made in our recent paper "Medial axis and singularities".