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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2511.03722 |
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Table of Contents:
- For any cardinal $κ\geq 2$, there is a unique complete real tree whose points all have valence $κ$. In this note, we show that, when $κ\geq 3$, it is necessary to assume completeness. More precisely, we show that there exist uncountably many homogeneous incomplete real trees whose points all have valence $κ$.