Zobrazeno 1 - 10
of 60
pro vyhledávání: '"Denkowski, Maciej P."'
We compare ambient and outer Lipschitz geometry of Lipschitz normally embedded H\"older triangles in $\mathbb{R}^4$. In contrast to the case of $\mathbb{R}^3$ there are infinitely many equivalence classes. The equivalence classes are related to the s
Externí odkaz:
http://arxiv.org/abs/2410.09532
Spider mechanisms are the simplest examples of arachnoid mechanisms, they are one step more complicated than polygonal linkages. Their configuration spaces have been studied intensively, but are yet not completely understood. In the paper we study th
Externí odkaz:
http://arxiv.org/abs/2407.15121
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. This note is a part of our study on the subject; we prove herein some
Externí odkaz:
http://arxiv.org/abs/2002.06624
Autor:
Denkowska, Anna, Denkowski, Maciej P.
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 function on polynomially convex compact sets in $\mathbb{C}^n$, we prove
Externí odkaz:
http://arxiv.org/abs/1804.11215
Autor:
Denkowska, Anna, Denkowski, Maciej P.
In 1986 Paw{\l}ucki and Ple\'sniak introduced the notion of {\sl uniformly polynomially cuspidal} (UPC) sets and proved that every relatively compact and fat subanalytic subset of ${\Rz}^n$ satisfies the UPC condition. Herein we investigate the UPC p
Externí odkaz:
http://arxiv.org/abs/1804.10567
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 assumptions) and provide a simple, self-contained proof of it together with an
Externí odkaz:
http://arxiv.org/abs/1804.09832
Autor:
Birbrair, Lev, Denkowski, Maciej P.
We correct one erroneous statement made in our recent paper "Medial axis and singularities".
Comment: Some minor misprints are corrected and one final remark is added
Comment: Some minor misprints are corrected and one final remark is added
Externí odkaz:
http://arxiv.org/abs/1705.02788
Autor:
Denkowski, Maciej, Tibar, Mihai
Publikováno v:
Bull. Soc. Sci. Math. Roumanie 62 (110), No. 1, 2019, 93-100
We introduce a sectional criterion for testing if complex analytic germs $(X,0) \subset (\bC^n, 0)$ are Lipschitz non normally embedded.
Comment: title changed; more introduction. revised before printing
Comment: title changed; more introduction. revised before printing
Externí odkaz:
http://arxiv.org/abs/1703.06766
Autor:
Denkowski, Maciej P.
In his beautiful paper on the central set from 1981, Y. Yomdin makes use of a Lipschitz Inverse Function Theorem that seemingly has been unproved until now. After a brief discussion of a natural and straightforward Lipschitz counterpart of an implici
Externí odkaz:
http://arxiv.org/abs/1610.07905
We investigate several possibilities of obtaining a {\L}ojasiewicz inequality for definable multifunctions and give some examples of applications thereof. In particular, we prove that the Hausdorff distance and its extension to closed sets is definab
Externí odkaz:
http://arxiv.org/abs/1610.09401