ultrahomogeneous
Word Rarity
Very rare
Frequency: Zipf frequency 0.00 in modern English
22
Scrabble Score
16
Letters
6
Syllables
12
Unique Chars
Meaning
adj
Such that every isomorphism between finitely generated substructures extends to an automorphism of itself.
Example Sentences
- "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."
Etymology
From ultra- + homogeneous.