Covers and Directed Colimits

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Exact model categories, approximation theory, and cohomology of quasi-coherent sheaves (2013, methodology): “It is fair to remark that there is an alternative approach to approximation theory, namely Bican’s and El Bashir’s proof of the Flat Cover Conjecture in [8] and its follow ups [16, 20, 40, 63], which does not seem to fit in our framework.”
Approximations and adjoints in homotopy categories (2010, background): “It turns out that El Bashir’s proof of the flat cover conjecture [7, 12] leads to a systematic approach yielding such approximations and adjoints.”
On exact categories and applications to triangulated adjoints and model structures (2010, background): “Several versions of El Bashir’s result have appeared in the literature since then, to our best knowledge the most general of them being the one obtained in [40] by Krause.”
Covers, precovers, and purity (2008, result): “A number of these results can be found in Enochs and Jenda’s pivotal book [10], but see also [1], [2], [3], [4], [5], [7], [8], [9], [11], [13], [14], [15], and [17].”
Covers in finitely accessible categories (2010, methodology): “We point out the work of Aldrich, Enochs, Garćıa Rozas and Oyonarte [2] and El Bashir [14] in arbitrary Grothendieck categories, Enochs, Estrada, Garćıa Rozas and Oyonarte for quasi-coherent sheaves over the projective line [16] and for quasi-coherent sheaves over a scheme [17], Enochs and Oyonarte ”