<div class="csl-bib-body">
<div class="csl-entry">Schürz, J. P. (2018). <i>Gitik’s model or a model of ZF where all uncountable cardinals are singular</i> [Diploma Thesis, Technische Universität Wien]. reposiTUm. https://doi.org/10.34726/hss.2018.52860</div>
</div>
-
dc.identifier.uri
https://doi.org/10.34726/hss.2018.52860
-
dc.identifier.uri
http://hdl.handle.net/20.500.12708/5394
-
dc.description
Abweichender Titel nach Übersetzung der Verfasserin/des Verfassers
-
dc.description.abstract
In my Master's Thesis I want to show the following result by [Gitik, Moti (1980). All uncountable cardinals can be singular. Israel Journal of Mathematics, Vol. 35 no. 1-2, pp. 61-88.]: Assuming the consistency of arbitrarily large strongly compact cardinals, we show the consistency of 'ZF + all uncountable cardinals are singular'. To this end, we will start with a countable transitive model M of 'ZFC + there exist arbitrarily large strongly compact cardinals', force with a proper class forcing to get a model M[G] satisfying 'ZF - Power Set + Collection + all sets are countable', and finally define a symmetric submodel N_G, which will have the required properties.
en
dc.language
English
-
dc.language.iso
en
-
dc.rights.uri
http://rightsstatements.org/vocab/InC/1.0/
-
dc.subject
forcing
de
dc.subject
Auswahlaxiom
de
dc.subject
singuläre Kardinalzahlen
de
dc.subject
Gitik
de
dc.subject
forcing
en
dc.subject
axiom of choice
en
dc.subject
singular cardinals
en
dc.subject
Gitik
en
dc.title
Gitik's model or a model of ZF where all uncountable cardinals are singular
en
dc.title.alternative
Gitiks Modell, oder: Ein Modell von ZF, in dem alle überabzählbaren Kardinalzahlen singulär sind
de
dc.type
Thesis
en
dc.type
Hochschulschrift
de
dc.rights.license
In Copyright
en
dc.rights.license
Urheberrechtsschutz
de
dc.identifier.doi
10.34726/hss.2018.52860
-
dc.contributor.affiliation
TU Wien, Österreich
-
dc.rights.holder
Johannes Philipp Schürz
-
dc.publisher.place
Wien
-
tuw.version
vor
-
tuw.thesisinformation
Technische Universität Wien
-
tuw.publication.orgunit
E104 - Institut für Diskrete Mathematik und Geometrie
-
dc.type.qualificationlevel
Diploma
-
dc.identifier.libraryid
AC15152281
-
dc.description.numberOfPages
21
-
dc.identifier.urn
urn:nbn:at:at-ubtuw:1-115354
-
dc.thesistype
Diplomarbeit
de
dc.thesistype
Diploma Thesis
en
dc.rights.identifier
In Copyright
en
dc.rights.identifier
Urheberrechtsschutz
de
tuw.advisor.staffStatus
staff
-
tuw.advisor.orcid
0000-0002-0438-633X
-
item.fulltext
with Fulltext
-
item.cerifentitytype
Publications
-
item.mimetype
application/pdf
-
item.openairecristype
http://purl.org/coar/resource_type/c_bdcc
-
item.languageiso639-1
en
-
item.openaccessfulltext
Open Access
-
item.openairetype
master thesis
-
item.grantfulltext
open
-
crisitem.author.dept
E104-01 - Forschungsbereich Algebra
-
crisitem.author.parentorg
E104 - Institut für Diskrete Mathematik und Geometrie