PP-2018-14: Carl, Merlin and Galeotti, Lorenzo and Löwe, Benedikt (2018) The Bolzano-Weierstrass Theorem in Generalised Analysis. [Pre-print]
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Abstract
Abstract. Let κ be an uncountable regular cardinal with κ<κ = κ. We
consider two totally ordered fields κ-R and Rκ, due to Sikorski and the second author, respectively, that serve as the κ-analogues of the real line and consider generalisations of the Bolzano-Weierstraß theorem for them, showing that for Rκ, the weak κ-Bolzano-Weierstraß theorem is closely related to the tree property of κ.
| Item Type: | Pre-print |
|---|---|
| Report Nr: | PP-2018-14 |
| Series Name: | Prepublication (PP) Series |
| Year: | 2018 |
| Subjects: | Logic Mathematics |
| Depositing User: | lgaleot1 |
| Date Deposited: | 02 Dec 2018 11:17 |
| Last Modified: | 02 Dec 2018 11:32 |
| URI: | https://eprints.illc.uva.nl/id/eprint/1646 |
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