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arXiv · 2603.25380

Complex cells in sharply o-minimal structures

Gal Binyamini·Oded Carmon·Dmitry Novikov
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Abstract

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.

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BibTeXRIS

Gal Binyamini, Oded Carmon, Dmitry Novikov. 2026-03-26. Complex cells in sharply o-minimal structures. https://arxiv.org/abs/2603.25380

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