Word.ws English Dictionary

ultrahomogeneous

ultrahomogeneous adjective: such that every isomorphism between finitely generated substructures extends to an automorphism of itself.

Adjective

ultrahomogeneous (not comparable)

  1. 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...2016, J. Jonušas, J. D. Mitchell, “Topological 2-generation of automorphism groups of countable ultrahomogeneous graphs”, in arXiv

Origin of ultrahomogeneous

From ultra- + homogeneous.

Questions about ultrahomogeneous

What does ultrahomogeneous mean?
Ultrahomogeneous means such that every isomorphism between finitely generated substructures extends to an automorphism of itself.
What part of speech is ultrahomogeneous?
Ultrahomogeneous is an adjective.

Words near ultrahomogeneous in the dictionary

  1. ultraheroic
  2. ultrahigh
  3. ultrahip
  4. ultraholomorphic
  5. ultrahomogeneity
  6. ultrahomogeneous
  7. ultrahot
  8. ultrahuman
  9. ultrahydrophobic
  10. ultrahydrophobicity
  11. ultrahyped

Source and license

Adapted from Wiktionary: ultrahomogeneous (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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