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25

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BSL
2008

88views more BSL 2008»

Forcing Axioms, Supercompact Cardinals, Singular Cardinal Combinatorics

13 years 8 months ago

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Matteo Viale

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41

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AML
2011

221views Mathematics» more AML 2011»

A remark on the tree property in a choiceless context

13 years 4 days ago

Download faculty.baruch.cuny.edu

We show that the consistency of the theory “ZF + DC + Every successor cardinal is regular + Every limit cardinal is singular + Every successor cardinal satisﬁes the tree prope...

Arthur W. Apter

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21

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JSYML
2008

71views more JSYML 2008»

Regular ultrafilters and finite square principles

13 years 8 months ago

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We show that many singular cardinals above a strongly compact cardinal have regular ultrafilters D that violate the finite square principle fin ,D introduced in [3]. For such ult...

Juliette Kennedy, Saharon Shelah, Jouko A. Vä...

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22

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AML
2005

58views more AML 2005»

Successors of singular cardinals and coloring theorems I

13 years 8 months ago

Download www.math.ohiou.edu

In this paper, we investigate the extent to which techniques used in [10], [2], and [3] -- developed to prove coloring theorems at successors of singular cardinals of uncountable c...

Todd Eisworth, Saharon Shelah

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26

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APAL
2006

60views more APAL 2006»

The Proper Forcing Axiom, Prikry forcing, and the Singular Cardinals Hypothesis

13 years 8 months ago

Download www.math.cornell.edu

The purpose of this paper is to present some results which suggest that the Singular Cardinals Hypothesis follows from the Proper Forcing Axiom. What will be proved is that a form ...

Justin Tatch Moore

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