S4.3 and hereditarily extremally disconnected spaces
| Authors |
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|---|---|
| Publication date | 2015 |
| Journal | Georgian Mathematical Journal |
| Volume | Issue number | 22 | 4 |
| Pages (from-to) | 441-4759 |
| Organisations |
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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. |
| Document type | Article |
| Language | English |
| Published at |
https://doi.org/10.1515/gmj-2015-0041
(Final published version)
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