ON IP-ASTERISK SETS AND CENTRAL SETS

被引:23
作者
BERGELSON, V
HINDMAN, N
机构
[1] OHIO STATE UNIV,DEPT MATH,COLUMBUS,OH 43210
[2] HOWARD UNIV,DEPT MATH,WASHINGTON,DC 20059
关键词
D O I
10.1007/BF01212975
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
IP* sets and central sets are subsets of N which are known to have rich combinatorial structure. We establish here that structure is significantly richer that was previously known. We also establish that multiplicatively central sets have rich additive structure. The relationship among IP* sets, central sets, and corresponding dynamical notions are also investigated.
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页码:269 / 277
页数:9
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