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Apr 28, 2023 at 11:02 comment added Morgan Rogers At the 1-topos level, just connectedness suffices (I think this may also be true at the oo-topos level)
Jan 26, 2014 at 15:22 comment added Simon Henry Thank you, that is exactly the kind of restriction I was looking for ! The fact that $p^*$ is also fully faithful on sheaves of space is essentially because $\mathbb{R}$ is contractible ?
Jan 25, 2014 at 23:14 vote accept Simon Henry
Jan 25, 2014 at 16:59 history answered Jacob Lurie CC BY-SA 3.0