Complex cells in sharply o-minimal structures
Fuente:
arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866914424937250816 |
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| author | Binyamini, Gal Carmon, Oded Novikov, Dmitry |
| author_facet | Binyamini, Gal Carmon, Oded Novikov, Dmitry |
| contents | We extend the theory of complex cells introduced by Binyamini and Novikov to the sharply o-minimal setting, obtaining cellular preparation and parameterization theorems which are polynomially effective in the degrees of the relevant sets. Our constructions are definable, and so applying them to sets in a given reduct of R_an yields cells and cellular maps definable in the same reduct. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_25380 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Complex cells in sharply o-minimal structures Binyamini, Gal Carmon, Oded Novikov, Dmitry Logic Algebraic Geometry Complex Variables 14P10, 03C64, 30C99, 11U09 We extend the theory of complex cells introduced by Binyamini and Novikov to the sharply o-minimal setting, obtaining cellular preparation and parameterization theorems which are polynomially effective in the degrees of the relevant sets. Our constructions are definable, and so applying them to sets in a given reduct of R_an yields cells and cellular maps definable in the same reduct. |
| title | Complex cells in sharply o-minimal structures |
| topic | Logic Algebraic Geometry Complex Variables 14P10, 03C64, 30C99, 11U09 |
| url | https://arxiv.org/abs/2603.25380 |