GIGANTIC RANDOM SIMPLICIAL COMPLEXES
| Autor(en): | Grygierek, Jens Juhnke-Kubitzke, Martina Reitzner, Matthias Romer, Tim Rondigs, Oliver |
Stichwörter: | Betti numbers; COUNTS; HOMOLOGICAL CONNECTIVITY; Mathematics; Mathematics, Applied; Poisson point process; random simplicial complex; TOPOLOGY | Erscheinungsdatum: | 2020 | Herausgeber: | INT PRESS BOSTON, INC | Journal: | HOMOLOGY HOMOTOPY AND APPLICATIONS | Volumen: | 22 | Ausgabe: | 1 | Startseite: | 297 | Seitenende: | 318 | Zusammenfassung: | We provide a random sirnplicial 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. |
ISSN: | 15320073 | DOI: | 10.4310/HHA.2020.v22.n1.a17 |
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geprüft am 23.05.2024
