A simplified proof of the o-minimal Whitney Extension Theorem
Fuente:
arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
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| _version_ | 1866911518828789760 |
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| author | Kocel-Cynk, Beata Pawłucki, Wiesław Valette, Anna |
| author_facet | Kocel-Cynk, Beata Pawłucki, Wiesław Valette, Anna |
| contents | We give a proof of the o-minimal version of the Whitney Extension Theorem simplified as compared to the original ones. A new simplifying ingredient is a definable variant of Urysohn's lemma for class $\mathcal{C}^q$ (see Section 3). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_14924 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A simplified proof of the o-minimal Whitney Extension Theorem Kocel-Cynk, Beata Pawłucki, Wiesław Valette, Anna Logic Algebraic Geometry 14P15, 03C64, 32B20, 46E35 We give a proof of the o-minimal version of the Whitney Extension Theorem simplified as compared to the original ones. A new simplifying ingredient is a definable variant of Urysohn's lemma for class $\mathcal{C}^q$ (see Section 3). |
| title | A simplified proof of the o-minimal Whitney Extension Theorem |
| topic | Logic Algebraic Geometry 14P15, 03C64, 32B20, 46E35 |
| url | https://arxiv.org/abs/2603.14924 |