D sets and IP rich sets in ℤ

• Autorzy: Randall McCutcheon , Jee Zhou
• Języki publikacji: EN

Abstrakty

EN

We give combinatorial characterizations of IP rich sets (IP sets that remain IP upon removal of any set of zero upper Banach density) and D sets (members of idempotent ultrafilters, all of whose members have positive upper Banach density) in ℤ. We then show that the family of IP rich sets strictly contains the family of D sets.

Kategorie tematyczne

• 05D10: Ramsey theory
• 22A15: Structure of topological semigroups

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2016
• Tom: 233
• Numer: 1
• Strony: 71-82

Daty

wydano

2016

Twórcy

autor

Randall McCutcheon

• Department of Mathematical Sciences, University of Memphis, Memphis, TN 38152, U.S.A.

autor

Jee Zhou

• Department of Mathematical Sciences, University of Memphis, Memphis, TN 38152, U.S.A.

Identyfikatory

DOI

10.4064/fm950-11-2015