PP-2018-14: The Bolzano-Weierstrass Theorem in Generalised Analysis

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. 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
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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