The tree property

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11210%2F17%3A10362113" target="_blank" >RIV/00216208:11210/17:10362113 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Result language
angličtina
Original language name
The tree property
Original language description
We will review some of the more recent results we have obtained jointly with Sy-David Friedman regarding the relationship between the tree property and the continuum function. We will discuss the following key areas: (a). The possibility of obtaining a strong limit cardinal $kappa$ with $2^kappa$ (arbitrarily) large and with the tree property at $kappa^{++}$. The possibility of having $kappa = aleph_omega$ in the previous result. (b). The possibility of obtaining the results in (a) from more optimal large-cardinal assumptions (supercompacts vs. strong cardinals of low degree). (c). The possibility of obtaining a model where the continuum function below a strong limit $aleph_omega$ is as arbitrary as possible with the tree property holding at (some/all) cardinals $aleph_n$, $1 < n < omega$.
Czech name
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Czech description
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Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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