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Pronunciation varies by accent · adjective
(mathematics) Such that every isomorphism between finitely generated substructures extends to an automorphism of itself..
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.
Use ultrahomogeneous when its meaning, tone and grammar fit the full sentence. A synonym is not always a direct replacement.
Ultrahomogeneous means (mathematics) Such that every isomorphism between finitely generated substructures extends to an automorphism of itself..
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The opposite depends on the specific sense.
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.
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