ultrahomogeneity

English

Etymology

ultra- +‎ homogeneity

Noun

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