In mathematics, a syndetic set is a subset of the natural numbers having the property of "bounded gaps": that the sizes of the gaps in the sequence of natural numbers is bounded.
Definition A set is called syndetic if for some finite subset of
where . Thus syndetic sets have "bounded gaps"; for a syndetic set , there is an integer such that for any .
See also Ergodic Ramsey theory Piecewise syndetic set Thick set
References