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Hindman's theorem and idempotent types
被引:0
作者
:
Andrews, Uri
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Wisconsin, Dept Math, Madison, WI 53706 USA
Univ Wisconsin, Dept Math, Madison, WI 53706 USA
Andrews, Uri
[
1
]
Goldbring, Isaac
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Calif Irvine, Dept Math, 340 Rowland Hall,Bldg 400, Irvine, CA 92697 USA
Univ Wisconsin, Dept Math, Madison, WI 53706 USA
Goldbring, Isaac
[
2
]
机构
:
[1]
Univ Wisconsin, Dept Math, Madison, WI 53706 USA
[2]
Univ Calif Irvine, Dept Math, 340 Rowland Hall,Bldg 400, Irvine, CA 92697 USA
来源
:
SEMIGROUP FORUM
|
2018年
/ 97卷
/ 03期
关键词
:
IP set;
Hindman's theorem;
Idempotent type;
D O I
:
10.1007/s00233-018-9943-4
中图分类号
:
O1 [数学];
学科分类号
:
0701 ;
070101 ;
摘要
:
Motivated by a question of Di Nasso, we show that Hindman's theorem is equivalent to the existence of idempotent types in countable complete extensions of Peano Arithmetic.
引用
收藏
页码:471 / 477
页数:7
相关论文
共 4 条
[1]
IDEMPOTENT ULTRAFILTERS WITHOUT ZORN'S LEMMA
Di Nasso, Mauro
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引用数:
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Univ Pisa, Dipartimento Matemat, I-56126 Pisa, Italy
Univ Pisa, Dipartimento Matemat, I-56126 Pisa, Italy
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Tachtsis, Eleftherios
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引用数:
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Univ Aegean, Dept Math, Karlovassi 83200, Samos, Greece
Univ Pisa, Dipartimento Matemat, I-56126 Pisa, Italy
Tachtsis, Eleftherios
[J].
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY,
2018,
146
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: 397
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[2]
Di Nasso Mauro, 2015, NONSTANDARD ANAL WOR
[3]
Hindman's coloring theorem in arbitrary semigroups
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机构:
Bar Ilan Univ, Dept Math, IL-5290002 Ramat Gan, Israel
Bar Ilan Univ, Dept Math, IL-5290002 Ramat Gan, Israel
Golan, Gili
论文数:
引用数:
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机构:
Tsaban, Boaz
[J].
JOURNAL OF ALGEBRA,
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: 111
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[4]
EXISTENCE OF CERTAIN ULTRAFILTERS ON N AND A CONJECTURE OF GRAHAM AND ROTHSCHILD
HINDMAN, N
论文数:
0
引用数:
0
h-index:
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机构:
CALIF STATE COLL,DEPT MATH,LOS ANGELES,CA 90034
CALIF STATE COLL,DEPT MATH,LOS ANGELES,CA 90034
HINDMAN, N
[J].
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY,
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346
←
1
→
共 4 条
[1]
IDEMPOTENT ULTRAFILTERS WITHOUT ZORN'S LEMMA
Di Nasso, Mauro
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Pisa, Dipartimento Matemat, I-56126 Pisa, Italy
Univ Pisa, Dipartimento Matemat, I-56126 Pisa, Italy
Di Nasso, Mauro
Tachtsis, Eleftherios
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Aegean, Dept Math, Karlovassi 83200, Samos, Greece
Univ Pisa, Dipartimento Matemat, I-56126 Pisa, Italy
Tachtsis, Eleftherios
[J].
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY,
2018,
146
(01)
: 397
-
411
[2]
Di Nasso Mauro, 2015, NONSTANDARD ANAL WOR
[3]
Hindman's coloring theorem in arbitrary semigroups
Golan, Gili
论文数:
0
引用数:
0
h-index:
0
机构:
Bar Ilan Univ, Dept Math, IL-5290002 Ramat Gan, Israel
Bar Ilan Univ, Dept Math, IL-5290002 Ramat Gan, Israel
Golan, Gili
论文数:
引用数:
h-index:
机构:
Tsaban, Boaz
[J].
JOURNAL OF ALGEBRA,
2013,
395
: 111
-
120
[4]
EXISTENCE OF CERTAIN ULTRAFILTERS ON N AND A CONJECTURE OF GRAHAM AND ROTHSCHILD
HINDMAN, N
论文数:
0
引用数:
0
h-index:
0
机构:
CALIF STATE COLL,DEPT MATH,LOS ANGELES,CA 90034
CALIF STATE COLL,DEPT MATH,LOS ANGELES,CA 90034
HINDMAN, N
[J].
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY,
1972,
36
(02)
: 341
-
346
←
1
→