ultrahomogeneity

From ultra- +‎ homogeneity.

ultrahomogeneity (countable and uncountable, plural ultrahomogeneities)

1. (mathematics) The condition of being ultrahomogeneous
   • 2015, Harry Crane, Henry Towsner, “Relatively exchangeable structures”, in arXiv‎^[1]:

     If ${\displaystyle {\mathfrak {M}}}$ satisfies the stronger properties of ultrahomogeneity and ${\displaystyle n}$-disjoint amalgamation property (${\displaystyle n}$-DAP) for every ${\displaystyle n\geq 1}$, then relatively exchangeable structures have a more precise description whereby each component depends locally on ${\displaystyle {\mathfrak {M}}}$.