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Jun 16, 2019 at 17:12 comment added Alessandro Ah now I see, you're right. Thanks for pointing that
Jun 15, 2019 at 16:04 comment added Tim Campion But just because the two mapping spaces are equivalent doesn't mean that if one is fibrant, so is the other. This is impicitly claimed in the statement of 4.2.1.8, but as pointed out by Zhen Lin in the MSE discussion I linked to, it doesn't appear that Lurie actually proves this model is fibrant.
Jun 14, 2019 at 19:43 history edited Alessandro CC BY-SA 4.0
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Jun 14, 2019 at 19:42 comment added Alessandro Yeah sorry, I didn't write they are equivalent. I'll edit the post.
Jun 14, 2019 at 17:37 comment added Tim Campion Note that Lurie uses a different model for the mapping spaces, though.
Jun 14, 2019 at 12:38 history answered Alessandro CC BY-SA 4.0