23 citations · 33 across the 10 of their papers we have counts for
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3 papers · 1 filter
math.KT2015★ 6 cited
Model structure on projective systems of -algebras and bivariant homology theories
Ilan Barnea, Michael Joachim, Snigdhayan Mahanta
Using the machinery of weak fibration categories due to Schlank and the first author, we construct a convenient model structure on the pro-category of separable -algebras $\ma…
math.AT2015★ 2 cited
The two out of three property in ind-categories and a convenient model category of spaces
Ilan Barnea
In [BaSc2], the author and Tomer Schlank introduced a much weaker homotopical structure than a model category, which we called a "weak cofibration category". We further showed that…
math.AT2015★ 23 cited
Pro-categories in homotopy theory
Ilan Barnea, Yonatan Harpaz, Geoffroy Horel
The goal of this paper is to prove an equivalence between the model categorical approach to pro-categories, as studied by Isaksen, Schlank and the first author, and the -ca…