10 citations · 18 across the 6 of their papers we have counts for
7 papers
Neighborly Murai spheres and the Simplicial Steinitz Problem
Ivan Limonchenko, Aleš Vavpetič
We provide a classification of neighborly Murai spheres, which implies that all of them are polytopal. Furthermore, we show that each neighborly -sphere with no more than …
On the combinatorics of Murai spheres and its applications
Ivan Limonchenko, Aleš Vavpetič
We classify the combinatorial types of Murai spheres in dimensions and , thereby showing that the corresponding convex simple polytopes have Delzant realizations. Then we de…
Chromatic numbers, Buchstaber numbers and chordality of Bier spheres
Ivan Limonchenko, Aleš Vavpetič
We describe all the Bier spheres of dimension with chromatic number equal to and prove that all other -dimensional Bier spheres have chromatic number equal to , f…
Optimal parametric interpolants of circular arcs
Aleš Vavpetič
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 uni…
The countable sup property for lattices of continuous functions
Marko Kandić, Aleš Vavpetič
In this paper we find sufficient and necessary conditions under which vector lattice and its sublattices , and have the countable sup property. It…
Topological aspects of order in
Marko Kandić, Aleš Vavpetič
In this paper we consider the relationship between order and topology in the vector lattice of all bounded continuous functions on a Hausdorff space . We prove that the…
Asymptotic dimension of coarse spaces via maps to simplicial complexes
M. Cencelj, J. Dydak, A. Vavpetič
It is well-known that a paracompact space is of covering dimension at most if and only if any map from to a simplicial complex can be pushed into i…