The Hrushovski Property for Compact Special Cube Complexes

Autor: Abdenbi, Brahim, Wise, Daniel T.
Rok vydání: 2023
Předmět:
Druh dokumentu: Working Paper
Popis: We show that any compact nonpositively curved cube complex $Y$ embeds in a compact nonpositively curved cube complex $R$ where each combinatorial injective partial local isometry of $Y$ extends to an automorphism of $R$. When $Y$ is special and the collection of injective partial local isometries satisfies certain conditions, we show that $R$ can be chosen to be special and the embedding $Y\hookrightarrow R$ can be chosen to be a local isometry.
Databáze: arXiv