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Feb 10, 2017 at 19:46 vote accept Saal Hardali
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Feb 2, 2017 at 17:51 history edited Saal Hardali CC BY-SA 3.0
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Feb 2, 2017 at 16:52 comment added Denis Nardin @CharlesRezk Actually I have a very poor intuition for epimorphisms of ∞-groupoids. I guess what I meant with "boring" is that there are very few of them, so the notion of subobject for example is not that useful.
Feb 2, 2017 at 16:48 comment added Charles Rezk @DenisNardin I claim that epimorphisms are not boring! For instance, epimorphisms of $\infty$-groupoids.
Feb 2, 2017 at 16:47 answer added Charles Rezk timeline score: 12
Feb 2, 2017 at 15:04 comment added Denis Nardin Monomorphisms and epimorphisms tend to be quite boring: a monomorphism in spaces is just an inclusion of connected components and a map $f:x\to y$ in an ∞-category C is a monomorphism (resp. epimorphism) iff for every $z\in C$ the map $f_*:\mathrm{Map}_C(z,x)\to \mathrm{Map}_C(z,y)$ (resp. $f^*:\mathrm{Map}_C(y,z)\to \mathrm{Map}_C(x,z)$) is a monomorphism in spaces.
Feb 2, 2017 at 3:07 history edited David White CC BY-SA 3.0
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Feb 1, 2017 at 22:26 answer added fosco timeline score: 6
Jan 31, 2017 at 17:17 history edited Saal Hardali
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Jan 31, 2017 at 17:05 history asked Saal Hardali CC BY-SA 3.0