Academic Journal
On Shehtman's two problems.
| Τίτλος: | On Shehtman's two problems. |
|---|---|
| Συγγραφείς: | Bezhanishvili, Guram1 (AUTHOR), Bezhanishvili, Nick2 (AUTHOR) n.bezhanishvili@uva.nl, Lucero‐Bryan, Joel1 (AUTHOR), van Mill, Jan3 (AUTHOR) |
| Πηγή: | Journal of the London Mathematical Society. Mar2025, Vol. 111 Issue 3, p1-47. 47p. |
| Θεματικοί όροι: | *Continuum hypothesis, *Modal logic |
| Περίληψη: | We provide partial solutions to two problems posed by Shehtman concerning the modal logic of the Čech–Stone compactification of an ordinal space. We use the Continuum Hypothesis to give a finite axiomatization of the modal logic of β(ω2)$\beta (\omega ^2)$, thus resolving Shehtman's first problem for n=2$n=2$. We also characterize modal logics arising from the Čech–Stone compactification of an ordinal γ$\gamma$ provided the Cantor normal form of γ$\gamma$ satisfies an additional condition. This gives a partial solution of Shehtman's second problem. [ABSTRACT FROM AUTHOR] |
| Βάση Δεδομένων: | Academic Search Index |
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