Hausdorff gap

短语

词形变化

Hausdorff gaps 复数 Hausdorff gaps

释义与例句

n.
  1. 1.

    A pair of collections of integer sequences such that there is no integer sequence lying between the two.

    数学

    The existence of Hausdorff gaps shows that the partially ordered set of possible growth rates of sequences is not complete.^([Wikipedia])

    2013, Ilijas Farah, Eric Wofsey, 3: Set theory and operator algebras, James Cummings, Ernest Schimmerling (editors), Appalachian Set Theory: 2006-2012, London Mathematical Society, Cambridge University Press, page 101, This family is one of the instances of incompactness of ω₁ that are provable in ZFC, along with Hausdorff gaps, special Aronszajn trees, or nontrivial coherent families of partial functions.

词源

Named after German mathematician Felix Hausdorff (1868–1942), who published proof of the first example in 1909.

来源：wiktionary