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math.LO2026
Complex cells in sharply o-minimal structures
Gal Binyamini, Oded Carmon, Dmitry Novikov
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 p…
math.LO2026★ 1 cited
Sharply o-minimal structures and sharp cellular decomposition
Gal Binyamini, Dmitri Novikov, Benny Zak
Sharply o-minimal structures (denoted \so-minimal) are a strict subclass of the o-minimal structures, aimed at capturing some finer features of structures arising from algebraic ge…