Syndetic set

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.

DefinitionEdit

A set   is called syndetic if for some finite subset F of  

 

where  . Thus syndetic sets have "bounded gaps"; for a syndetic set  , there is an integer   such that   for any  .

See alsoEdit

ReferencesEdit