A generalized Sard theorem on real closed fields

2015/03/14 by Anna Valette, Valette, Anna, Guillaume Valette +1 · 1 citation
Mathematics · #14P10 #57R35 #58K05 #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG #msc:14P10 #msc:57R35 #msc:58K05

paper · pdf · doi:10.48550/arxiv.1503.04300

arxiv created 2015/03/14 · arxiv updated 2015/03/17

Abstract

We work with semi-algebraic functions on arbitrary real closed fields. We generalize the notion of critical values and prove a Sard type theorem in our framework.

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