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math.LO2026
Analytically generated sharply o-minimal structures
Oded Carmon
We describe a class of sharply o-minimal structures, called analytically generated structures, whose definable sets and their complexity filtration are determined by the collection…
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…