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Description
  • In this paper we introduce some fusion properties of forcing notions which guarantee that an iteration with supports of size {= kappa it not only does not collapse kappa(+) but also preserves the strength of kappa (after a suitable preparatory forcing). This provides a general theory covering the known cases of tree iterations which preserve large cardinals (cf. Dobrinen and Friedman (2010) [3], Friedman and Halilovic (2011) [5], Friedman and Honzik (2008) [6], Friedman and Magidor (2009) [8], Friedman and Zdomskyy (2010) [10], Honzik (2010) [12]).
  • In this paper we introduce some fusion properties of forcing notions which guarantee that an iteration with supports of size {= kappa it not only does not collapse kappa(+) but also preserves the strength of kappa (after a suitable preparatory forcing). This provides a general theory covering the known cases of tree iterations which preserve large cardinals (cf. Dobrinen and Friedman (2010) [3], Friedman and Halilovic (2011) [5], Friedman and Honzik (2008) [6], Friedman and Magidor (2009) [8], Friedman and Zdomskyy (2010) [10], Honzik (2010) [12]). (en)
Title
  • Fusion and large cardinal preservation
  • Fusion and large cardinal preservation (en)
skos:prefLabel
  • Fusion and large cardinal preservation
  • Fusion and large cardinal preservation (en)
skos:notation
  • RIV/00216208:11210/13:10173334!RIV14-GA0-11210___
http://linked.open...avai/predkladatel
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GP201/09/P115)
http://linked.open...iv/cisloPeriodika
  • 12
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
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  • 76054
http://linked.open...ai/riv/idVysledku
  • RIV/00216208:11210/13:10173334
http://linked.open...riv/jazykVysledku
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  • Reasonably bounded forcings; Fusion; Miller forcing; Lifting; Elementary embedding; Measurable cardinal (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • NL - Nizozemsko
http://linked.open...ontrolniKodProRIV
  • [B3032A439714]
http://linked.open...i/riv/nazevZdroje
  • Annals of Pure and Applied Logic
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http://linked.open...ichTvurcuVysledku
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http://linked.open...UplatneniVysledku
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  • 164
http://linked.open...iv/tvurceVysledku
  • Honzík, Radek
  • Friedman, Sy-David
  • Zdomskyy, Lyubomyr
http://linked.open...ain/vavai/riv/wos
  • 000324715300007
issn
  • 0168-0072
number of pages
http://bibframe.org/vocab/doi
  • 10.1016/j.apal.2013.06.011
http://localhost/t...ganizacniJednotka
  • 11210
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