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Mar 23, 2017 at 20:48 comment added David White No, the conditions are in Bousfield's paper cited above (section 9). They do not appear in Hirschhorn. For pseudo-generating sets, do you know the answer for sSet? That's the most natural test case, I think.
Mar 23, 2017 at 6:30 comment added Tim Campion I couldn't find conditions for right properness of a left Bousfield localization in Hirschhorn-the closest I found was the fact that left Bousfield localization preserves left properness,and an isolated proposition whose hypotheses included the condition that both a model category and a left Bousfield localization be right proper.Are the conditions similar to Cisinski's conditions for one of his model categories to be right proper?I'm not sure what you mean about the case where all objects are fibrant-the way I defined a pseudo-generating set,it will always generate if all objects are fibrant.
Mar 22, 2017 at 1:44 history answered David White CC BY-SA 3.0