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#hausdorff_gap

Hausdorff gap

A pair of collections of integer sequences with no such sequence lying between them.

In mathematics, a Hausdorff gap consists roughly of two collections of sequences of integers, such that there is no sequence lying between the two collections. The first example was found by Hausdorff. The existence of Hausdorff gaps shows that the partially ordered set of possible growth rates of sequences is not complete.

Sat 24th

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Hausdorff gap Felix Hausdorff Glossary of set theory Open coloring axiom Gromov's theorem on groups of polynomial growth Mandelbrot set Boolean algebras canonically defined Order topology H tree List of incomplete or incorrect mathematical proofs
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