The double of a simplicial complex
Combinatorics
2025-06-13 v1 Algebraic Topology
Abstract
We introduce the notion of doubling and r-tupling for simplicial complexes, a notion reminiscent to that of matching complexes in graph theory. We prove a connectivity result for such complexes and relate r-tupling to stabilizing r times faster in homological stability.
Cite
@article{arxiv.2506.10436,
title = {The double of a simplicial complex},
author = {Kathryn Lesh and Bridget Schreiner and Nathalie Wahl},
journal= {arXiv preprint arXiv:2506.10436},
year = {2025}
}