<div class="csl-bib-body">
<div class="csl-entry">Dimonte, V., & Friedman, S.-D. (2014). Rank-into-rank hypotheses and the failure of GCH. <i>Archive for Mathematical Logic</i>, <i>53</i>(3–4), 351–366. https://doi.org/10.1007/s00153-014-0369-8</div>
</div>
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dc.identifier.issn
0933-5846
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dc.identifier.uri
http://hdl.handle.net/20.500.12708/157707
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dc.description.abstract
In this paper we are concerned about the ways GCH can fail in relation to rank-into-rank hypotheses, i.e., very large cardinals usually denoted by I3, I2, I1 and I0. The main results are a satisfactory analysis of the way the power function can vary on regular cardinals in the presence of rank-into-rank hypotheses and the consistency under I0 of the existence of j:Vλ+1≺Vλ+1 with the failure of GCH at λ .
en
dc.language.iso
en
-
dc.relation.ispartof
Archive for Mathematical Logic
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dc.subject
Philosophy
-
dc.subject
Logic
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dc.subject
Rank-into-rank
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dc.subject
Embedded lifting
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dc.subject
Easton forcing
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dc.title
Rank-into-rank hypotheses and the failure of GCH
en
dc.type
Artikel
de
dc.type
Article
en
dc.description.startpage
351
-
dc.description.endpage
366
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dc.type.category
Original Research Article
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tuw.container.volume
53
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tuw.container.issue
3-4
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tuw.journal.peerreviewed
true
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tuw.peerreviewed
true
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tuw.researchTopic.id
X1
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tuw.researchTopic.name
außerhalb der gesamtuniversitären Forschungsschwerpunkte
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tuw.researchTopic.value
100
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dcterms.isPartOf.title
Archive for Mathematical Logic
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tuw.publication.orgunit
E104 - Institut für Diskrete Mathematik und Geometrie
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tuw.publisher.doi
10.1007/s00153-014-0369-8
-
dc.date.onlinefirst
2014-01-29
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dc.identifier.eissn
1432-0665
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dc.description.numberOfPages
16
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wb.sci
true
-
wb.sciencebranch
Mathematik
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wb.sciencebranch.oefos
1010
-
wb.facultyfocus
Diskrete Mathematik und Geometrie
de
wb.facultyfocus
Discrete Mathematics and Geometry
en
wb.facultyfocus.faculty
E100
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http://purl.org/coar/resource_type/c_18cf
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Publications
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E104 - Institut für Diskrete Mathematik und Geometrie
