Thick set

From Wikipedia, the free encyclopedia

A thick set of integers is one that contains arbitrarily long intervals. That is, given a thick set T, for every p \in \mathbb{N}, there is some n \in \mathbb{N} such that \{n, n+1, n+2, ... , n+p \} \subset T.

[edit] See also

[edit] References

  1. J. McLeod Some Notions of Size in Partial Semigroups Topology Proceedings, Vol. 25 (2000), 317-332
  2. V. Bergelson Minimal Idempotents and Ergodic Ramsey Theory Topics in Dynamics and Ergodic Theory 8-39, London Math. Soc. Lecture Note Series 310, Cambridge Univ. Press, Cambridge, (2003)
  3. V. Bergelson, N. Hindman Partition regular structures contained in large sets are abundant J. Comb. Theory (Series A) 93 (2001), 18-36
Retrieved from "http://en.wikipedia.org../../../t/h/i/Thick_set.html"