Filtry
A definable failure of the Singular Cardinal Hypothesis
^{++}$-strong cardinal, where $kappa$ is $kappa^{++}$-strong if there is an embedding $j:VWe show first that it is consistent that $kappa$ is a measurable cardinal where$, $aleph_omega$ strong limit, while...
BA - Obecná matematika
- 2012 •
- Jx •
- Odkaz
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Global Singularization and the Failure of SCH
The paper studies the connection between the failure of SCH on singular cardinals with countable cofinality and the values of the continuum function on the former regular cardinals. The proofs use the almost optimal large cardin...
BA - Obecná matematika
- 2010 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Large cardinals and their effect on the continuum function on regular cardinals
of the Easton theorem in the context of large cardinals. In particular, we will consider inaccessible, Mahlo, weakly compact, Ramsey, measurable, strong, Woodin, and supercompact cardinals. The paper concludes with a resul...
BA - Obecná matematika
- 2016 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
The tree property
of obtaining a strong limit cardinal $kappa$ with $2^kappa$ (arbitrarily) large large-cardinal assumptions (supercompacts vs. strong cardinals of low degree). (c). The possibility of obtaining a model whe...
Pure mathematics
- 2017 •
- O
Rok uplatnění
O - Ostatní výsledky
Narrow systems revisited
and cardinal arithmetic, introducing and studying generalized narrow system properties as a way to approach two open questions about two-cardinal tree properties. The first of these questions asks whether the strong tree p...
Pure mathematics
- 2024 •
- Jimp •
- Odkaz
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
The tree property at the aleph_2n's and the failure of SCH at aleph_omega
We show - starting from a hypermeasurable-type large cardinal assumption - that one can force a model where 2?? = ??+2, ?? is a strong limit cardinal, and the tree property holds at all ?2n, for n > 0. This provides a parti...
BA - Obecná matematika
- 2015 •
- Jx •
- Odkaz
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Large Cardinals and the Continuum Hypothesis
that perhaps "strong axioms of infinity" (large cardinals) could decide interesting setThis is a survey paper which discusses the impact of large cardinals unfounded for CH - one can show that virtually all large cardi...
BA - Obecná matematika
- 2013 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
The tree property at the double successor of a singular cardinal with a larger gap
Starting from a Laver-indestructible supercompact $kappa$ and a weakly compact $lambda$ above $kappa$, we show there is a forcing extension where $kappa$ is a strong limit singular cardinal with cofinality $omega$, $2^kappa = kappa^...
Pure mathematics
- 2018 •
- Jimp •
- Odkaz
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
The tree property at aleph_{omega+2} with a finite gap
at the double successor of a singular strong limit cardinal $kappa$ since we need to ensureLet $kappa$ be an infinite regular cardinal. The tree property at $kappa the tree property at the double successor of an infinite r...
Pure mathematics
- 2017 •
- O •
- Odkaz
Rok uplatnění
O - Ostatní výsledky
Výsledek na webu
Cardinal František z Ditrichštejna and pre-Bílá Hora Brno
Authors observe the relationship of cardinal František Ditrichštejn towards Brno as the head royal town in the country in the period between 1599 - 1619 joined the uprising against Habsburgs. They pay attention to both the Cardinal´...
AB - Dějiny
- 2007 •
- D
Rok uplatnění
D - Stať ve sborníku
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