The Bolzano-Weierstrass theorem in generalised analysis
| Authors |
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|---|---|
| Publication date | 2018 |
| Journal | Houston Journal of Mathematics |
| Volume | Issue number | 44 | 4 |
| Pages (from-to) | 1081-1109 |
| Organisations |
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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. |
| Document type | Article |
| Language | English |
| Published at |
https://preprint.math.uni-hamburg.de/public/papers/hbm/hbm752.pdf
(Submitted manuscript)
https://www.math.uh.edu/~hjm/restricted/pdf44(4)/01loewe.pdf
(Final published version)
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| Other links | |
| Downloads |
hbm752
(Submitted manuscript)
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