Spanning surfaces in 3-graphs

We prove a topological extension of Dirac's theorem suggested by Gowers in 2005: for any connected, closed surface S, we show that any two-dimensional simplicial complex on n vertices in which each pair of vertices belongs to at least n/3+o(n) facets contains a homeomorph of S spanning all the...

Ausführliche Beschreibung

Bibliographische Detailangaben
Hauptverfasser: Georgakopoulos, A, Haslegrave, J, Montgomery, R, Narayanan, B
Format: Journal article
Sprache:English
Veröffentlicht: EMS 2021

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