3 papers
math.CO2025
Indecomposability of the median hypersimplex and polytopality of the hemi-icosahedral Bier sphere
Filip D. Jevtić, Marinko Ž. Timotijević, Rade T. Živaljević
We prove that the median hypersimplex is Minkowski indecomposable, i.e. it cannot be expressed as a non-trivial Minkowski sum , where $P\neq λΔ_{2k,k}\ne…
math.LO2022
Logic of the Ontological Argument
Filip D. Jevtić, Slobodan Vujošević
In his ontological argument Gödel says nothing about its underlying logic. The argument is modal and at least of second-order and since S5 axiom is used so it is widely accepted th…
math.CO2021
Bier spheres of extremal volume and generalized permutohedra
Filip D. Jevtić, Rade T. Živaljević
A Bier sphere , defined as the deleted join of a simplicial complex and its Alexander dual , is a purely combinatorial object (abstract simplicia…