Meanings
- not comparablemathematicsSuch that every isomorphism between finitely generated substructures extends to an automorphism of itself.
1 more example
We show that if #92;Gamma is ultrahomogeneous, then #92;operatorname#123;Aut#125;(#92;Gamma) has 2-generated dense subgroups, and that under certain conditions given f#92;in#92;operatorname#123;Aut#125;(#92;Gamma) there exists g#92;in#92;operatorname#123;Aut#125;(#92;Gamma) such that the subgroup generated by f and g is dense.
2016, J. Jonušas, J. D. Mitchell, “Topological 2-generation of automorphism groups of countable ultrahomogeneous graphs”, in arXiv
Origin
Cite this entry
ultrahomogeneous. (n.d.). In WatkinsX Dictionary. Retrieved November 3, 2026, from https://dictionary.watkinsx.com/word/ultrahomogeneous
“ultrahomogeneous.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/ultrahomogeneous. Accessed November 3, 2026.
WatkinsX Dictionary, s.v. “ultrahomogeneous,” accessed November 3, 2026, https://dictionary.watkinsx.com/word/ultrahomogeneous.
Source: ultrahomogeneous on Wiktionary, CC BY-SA 4.0.