Name
Abstract | ||
|---|---|---|
We give a detailed and easily accessible proof of Gromov’s . Let be a finite simplicial complex or, more generally, a finite polyhedral cell complex of dimension . Informally, the theorem states that if has sufficiently strong (which generalize edge expansion of graphs and are defined in terms of cellular cochains of ) then has the following : for every continuous map there exists a point that is contained in the images of a positive fraction of the -cells of . More generally, the conclusion holds if is replaced by any -dimensional piecewise-linear manifold , with a constant that depends only on and on the expansion properties of , but not on . |
Year | DOI | Venue |
|---|---|---|
2015 | https://doi.org/10.1007/s10711-017-0291-4 | Geometriae Dedicata |
Keywords | DocType | Volume |
Expansion,Cell complexes,Topological overlapping,High dimensional expansion,05E45,58K15,53C23 | Journal | 195 |
Issue | ISSN | Citations |
1 | 0046-5755 | 0 |
PageRank | References | Authors |
0.34 | 6 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Dominic Dotterrer | 1 | 0 | 1.01 |
| Tali Kaufman | 2 | 499 | 38.33 |
| Uli Wagner | 3 | 259 | 31.51 |