PP-2015-15: Bezhanishvili, Guram and Bezhanishvili, Nick and Lucero-Bryan, Joel and van Mill, Jan (2015) S4.3 and hereditarily extremally disconnected spaces. [Report]
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Abstract
The modal logic S4.3 defines the class of hereditarily extremally disconnected spaces (HED-spaces). We construct a countable HED-subspace X of the Gleason cover of the real closed unit interval [0; 1] such that S4.3 is the logic of X.
| Item Type: | Report |
|---|---|
| Report Nr: | PP-2015-15 |
| Series Name: | Prepublication (PP) Series |
| Year: | 2015 |
| Uncontrolled Keywords: | Modal logic, topological semantics, topological completeness, hereditarily extremally disconnected space |
| Subjects: | Logic |
| Depositing User: | Nick Bezhanishvili |
| Date Deposited: | 12 Oct 2016 14:37 |
| Last Modified: | 12 Oct 2016 14:37 |
| URI: | https://eprints.illc.uva.nl/id/eprint/526 |
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