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An incomplete real tree
with complete segments
Raphael Appenzeller, Luca De Rosa, Xenia Flamm and Victor Jaeck |
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Vol. 21 (2024), No. 1, 35–44
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Abstract |
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Let be the field of real Puiseux series and the -homogeneous -tree defined by Brumfiel. We show that completing all the segments of does not result in a complete metric space. |
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Keywords
$\Lambda$-trees, completions, non-Archimedean ordered
fields
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Mathematical Subject Classification
Primary: 20E08, 51M10, 54E50
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Milestones
Received: 28 April 2023
Revised: 14 December 2023
Accepted: 2 March 2024
Published: 31 May 2024
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Authors |
| Raphael Appenzeller | |
| ETH Zürich Zürich Switzerland |
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| Luca De Rosa | |
| ETH Zürich Zürich Switzerland |
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| Xenia Flamm | |
| ETH Zürich Zürich Switzerland |
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| Victor Jaeck | |
| ETH Zürich Zürich Switzerland |
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| © 2024 The Author(s), under exclusive license to MSP (Mathematical Sciences Publishers). |
