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Since (mathsf{Ind},mathcal {C}) has pullbacks, a retract of a composition (f circ c) is the composition of retracts of f and c, so that this implies (overline{W} subset W) and (overline{F} subset F cap W), (overline{C} subset C cap W).
As of (iv 3, by an important result in the theory of retracts, it is necessary and sufficient for the closed subset (S_{varphi u,y,cdot)leq }^{(n)}) of the absolute retract (Psi u)) to be an AR as well (see, e.g., Lemma 5.6.3 in [31]).
Similar(58)
Our findings suggest that attention is a key predictor of retraction – retracted articles arise most frequently among highly-cited articles.
He soon apologized for his remark but stopped short of retracting it.
He wonders whether there is a means of retracting from the record.
Correction: This article originally stated that by the end of 2010 officials at Duke University began the process of retracting five papers.
So he said he decided to swallow the embarrassment of retracting it and issued a new one to reflect "important and positive things" in the speech.
Because a political concession is a gracious accommodation rather than a legal surrender of rights, the use of retract in this case was correct.
Iraqi political figures accused Mr. Bremer of "retracting" General Garner's promises, and one said it seemed as if he were looking for "35 lackeys".
Although to date all editors involved have resisted such unwarranted intimidation, an online journal is on the verge of retracting a paper due to worries about lawsuits.
China also showed no sign of retracting its demand for a U.S. apology for having brought Mr. Chen into the embassy by what a government spokesman called "abnormal means".
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com