Hausdorff gap

English

Etymology

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

Noun

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

   Template:Ux

   • Template:Quote-book
   • Template:Quote-book
   • 2013, Ilijas Farah, Eric Wofsey, 3: Set theory and operator algebras, James Cummings, Ernest Schimmerling (editors), Appalachian Set Theory: 2006-2012, Template:W, Template:W, page 101,

     This family is one of the instances of incompactness of ${\omega }_1$ that are provable in ZFC, along with Hausdorff gaps, special Aronszajn trees, or nontrivial coherent families of partial functions.

Related terms

• Template:L

Translations

• French: Template:T-needed
• German: Template:T-needed
• Italian: Template:T-needed

Further reading

• Hausdorff gap on Template:W