Λεπτομέρειες βιβλιογραφικής εγγραφής
| Τίτλος: |
Universal graphs between a strong limit singular and its power. |
| Συγγραφείς: |
Poór, Márk, Shelah, Saharon |
| Πηγή: |
Transactions of the American Mathematical Society; May2026, Vol. 379 Issue 5, p3111-3159, 49p |
| Θεματικοί όροι: |
Forcing (Model theory), Set theory, Continuum hypothesis |
| Περίληψη: |
The paper settles the problem of the consistency of the existence of a single universal graph between a strong limit singular and its power. Assuming that in a model of \mathbf {GCH} \kappa is supercompact and the cardinals \theta < \kappa, \lambda > \kappa are regular, as an application of a more general method, we obtain a forcing extension in which cf(\kappa) = \theta, the Singular Cardinal Hypothesis fails at \kappa and there exists a universal graph at cardinality \lambda \in (\kappa,2^\kappa). [ABSTRACT FROM AUTHOR] |
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| Βάση Δεδομένων: |
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