ultrahomogeneityとは 意味・読み方・使い方

名詞

ultrahomogeneity ‎(countable かつ uncountable, 複数形 ultrahomogeneities)

1. (数学) 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 ${\\displaystyle {\\mathfrak {M}}}$.