Zobrazeno 1 - 10
of 110
pro vyhledávání: '"Vavpetič, Aleš"'
We investigate the mod $p$ Buchstaber invariant of the skeleta of simplices, for a prime number $p$, and compare them for different values of $p$. For $p=2$, the invariant is the real Buchstaber invariant. Our findings reveal that these values are ge
Externí odkaz:
http://arxiv.org/abs/2312.03010
Autor:
Vavpetič, Aleš, Žagar, Emil
In [1], the author considered the problem of the optimal approximation of symmetric surfaces by biquadratic B\'ezier patches. Unfortunately, the results therein are incorrect, which is shown in this paper by considering the optimal approximation of s
Externí odkaz:
http://arxiv.org/abs/2303.04434
We study combinatorial and topological properties of the universal complexes $X(\mathbb{F}_p^n)$ and $K(\mathbb{F}_p^n)$ whose simplices are certain unimodular subsets of $\mathbb{F}_p^n$. We calculate their $\mathbf f$-vectors and their Tor-algebras
Externí odkaz:
http://arxiv.org/abs/2211.14937
Autor:
Kandić, Marko, Vavpetič, Aleš
In this paper, we continue the investigation of topological properties of unbounded norm (un-)topology in normed lattices. We characterize separability and second countability of un-topology in terms of properties of the underlying normed lattice. We
Externí odkaz:
http://arxiv.org/abs/2105.03126
Autor:
Vavpetič, Aleš, Žagar, Emil
A sphere is a fundamental geometric object widely used in (computer aided) geometric design. It possesses rational parameterizations but no parametric polynomial parameterization exists. The present study provides an approach to the optimal approxima
Externí odkaz:
http://arxiv.org/abs/2104.12496
Autor:
Vavpetič, Aleš, Žagar, Emil
The problem of the optimal approximation of circular arcs by parametric polynomial curves is considered. The optimality relates to the Hausdorff distance and have not been studied yet in the literature. Parametric polynomial curves of low degree are
Externí odkaz:
http://arxiv.org/abs/2003.06672
Autor:
Vavpetič, Aleš
The aim of this paper is a construction of quartic parametric polynomial interpolants of a circular arc, where two boundary points of a circular arc are interpolated. For every unit circular arc of inner angle not greater than $\pi$ we find the best
Externí odkaz:
http://arxiv.org/abs/1911.05425
Autor:
Vavpetič, Aleš, Žagar, Emil
We propose a general framework for geometric approximation of circular arcs by parametric polynomial curves. The approach is based on constrained uniform approximation of an error function by scalar polynomials. The system of nonlinear equations for
Externí odkaz:
http://arxiv.org/abs/1711.04523
Let $\mathbf{k}$ be the field $\mathbb{F}_p$ or the ring $\mathbb{Z}$. We study combinatorial and topological properties of the universal simplicial complexes $X(\mathbf{k}^n)$ and $K(\mathbf{k}^n)$ whose simplices are certain unimodular subsets of $
Externí odkaz:
http://arxiv.org/abs/1708.09565
Autor:
Lampret, Leon, Vavpetič, Aleš
We study the Lie ring $\mathfrak{nil}_n$ of all strictly upper-triangular $n\!\times\!n$ matrices with entries in $\mathbb{Z}$. Its complete homology for $n\!\leq\!8$ is computed. We prove that every $p^m$-torsion appears in $H_\ast(\mathfrak{nil}_n;
Externí odkaz:
http://arxiv.org/abs/1708.02783