We show that new definitions of the notion of "projection" on which some ofthe recent "extended formulations" works (such as Kaibel (2011); Fiorini et al.(2011; 2012); Kaibel and Walter (2013); Kaibel and Weltge (2013) for example)have been based can cause those works to over-reach in their conclusions inrelating polytopes to one another when the sets of the descriptive variablesfor those polytopes are disjoint.
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