3 papers
math.LO2012
Corrigendum to the paper: Geometric Axioms for Differentially Closed Fields with Several Commuting Derivations
Omar Leon Sanchez
In the proof of Lemma 2.6 (2) the iteration of the map τ was not performed properly and in fact the lemma is wrong; a counterexample is given by f = \bar{x}_1and k = 2. This error…
math.LO2011
Geometric Axioms for Differentially Closed Fields with Several Commuting Derivations
Omar Leon Sanchez
A geometric first-order axiomatization of differentially closed fields of characteristic zero with several commuting derivations, in the spirit of Pierce-Pillay, is formulated in t…
math.HO2008
Fundamental Theorem of Calculus
Garret Sobczyk, Omar Leon Sanchez
A simple but rigorous proof of the Fundamental Theorem of Calculus is given in geometric calculus, after the basis for this theory in geometric algebra has been explained. Various…