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A generalized Sard theorem on real closed fields
Author(s) -
Valette Anna,
Valette Guillaume
Publication year - 2016
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.201400364
Subject(s) - mathematics , algebraic number , type (biology) , pure mathematics , discrete mathematics , algebra over a field , calculus (dental) , mathematical analysis , medicine , dentistry , ecology , biology
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.