Gigantic random simplicial complexes
Combinatorics
2017-12-05 v1 Algebraic Topology
Probability
Abstract
We provide a random simplicial complex by applying standard constructions to a Poisson point process in Euclidean space. It is gigantic in the sense that - up to homotopy equivalence - it almost surely contains infinitely many copies of every compact topological manifold, both in isolation and in percolation.
Cite
@article{arxiv.1712.00589,
title = {Gigantic random simplicial complexes},
author = {Jens Grygierek and Martina Juhnke-Kubitzke and Matthias Reitzner and Tim Römer and Oliver Röndigs},
journal= {arXiv preprint arXiv:1712.00589},
year = {2017}
}