Zoe Wellner

collaborators

3 papers

math.CO2026

Homology of Vietoris-Rips complexes of hypercube graphs via group actions

Federico Galetto, Jonathan MontaÃ±o, Zoe Wellner

The Vietoris-Rips complex of a metric space is the simplicial complex whose faces are the subsets of points with pairwise distance bounded above by a given scale $r$ . In this paper…

math.CO2026

Classification of equiangular lines with fixed angle $arccos (1/ (1 + 22))$

Theodore Gossett, Zilin Jiang, Adam Teets +1

We determine the maximum number $N_{I^} \pm (d)$ of equiangular lines with fixed angle $arccos I^\pm$ for $I^\pm = 1/ (1 + 22)$ in $d$ -dimensional Euclidean space: $2,3,4,6,8,10,14,15,16,17,18…

math.CO2025

Covering and labeling generalizations of the Borsuk-Ulam theorem

Florian Frick, Zoe Wellner

We prove multiple generalizations of Fan's combinatorial labeling result for sphere triangulations. This can be seen as a comprehensive extension of the Borsuk--Ulam theorem. In ty…

Homology of Vietoris-Rips complexes of hypercube graphs via group actions

Classification of equiangular lines with fixed angle arccos(1/(1+22​))

Covering and labeling generalizations of the Borsuk-Ulam theorem

Classification of equiangular lines with fixed angle $arccos (1/ (1 + 22))$