D sets and IP rich sets in ℤ

Randall McCutcheon, and Jee Zhou. "D sets and IP rich sets in ℤ." Fundamenta Mathematicae 233.1 (2016): 71-82. <http://eudml.org/doc/282604>.

@article{RandallMcCutcheon2016,
abstract = {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.},
author = {Randall McCutcheon, Jee Zhou},
journal = {Fundamenta Mathematicae},
keywords = {IP sets; D sets},
language = {eng},
number = {1},
pages = {71-82},
title = {D sets and IP rich sets in ℤ},
url = {http://eudml.org/doc/282604},
volume = {233},
year = {2016},
}

TY - JOUR
AU - Randall McCutcheon
AU - Jee Zhou
TI - D sets and IP rich sets in ℤ
JO - Fundamenta Mathematicae
PY - 2016
VL - 233
IS - 1
SP - 71
EP - 82
AB - 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.
LA - eng
KW - IP sets; D sets
UR - http://eudml.org/doc/282604
ER -