Michael's selection theorem in general d-minimal structures
| Autor: | Fujita, Masato |
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| Rok vydání: | 2024 |
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| Druh dokumentu: | Working Paper |
| Popis: | Thamrongthanyalak demonstrated a definable version of Michael's selection theorem in d-minimal expansions of the real field. We generalize this result to the case in which the structures are d-minimal expansions of ordered fields $\mathcal F=(F,<,+,\cdot,0,1,\ldots)$. We also show that we can choose a definable continuous selection $f$ of a lower semi-continuous map $T:E \rightrightarrows F$ so that $f(x)$ is contained in the interior of $T(x)$ when the interior is not empty. Comment: arXiv admin note: text overlap with arXiv:2110.15613, arXiv:2311.08699 |
| Databáze: | arXiv |
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