nForum - Discussion Feed (Comma category in the Pointwise by Conical Limits section of Kan extension)Fri, 28 Jan 2022 22:41:24 -0500
https://nforum.ncatlab.org/
Lussumo Vanilla 1.1.10 & Feed Publisher
Zhen Lin comments on "Comma category in the Pointwise by Conical Limits section of Kan extension" (43539)
https://nforum.ncatlab.org/discussion/5508/?Focus=43539#Comment_43539
https://nforum.ncatlab.org/discussion/5508/?Focus=43539#Comment_43539Mon, 25 Nov 2013 22:04:38 -0500Zhen Lin

It’s not really a (co)slice category. As you surmised, the domain of $\Delta_{c'}$ is indeed $\mathbb{1}$, and the description as a comma category is completely accurate.

]]>
JasonGross comments on "Comma category in the Pointwise by Conical Limits section of Kan extension" (43537)
https://nforum.ncatlab.org/discussion/5508/?Focus=43537#Comment_43537
https://nforum.ncatlab.org/discussion/5508/?Focus=43537#Comment_43537Mon, 25 Nov 2013 21:45:06 -0500JasonGross
What's the indexing category of the constant diagram functor used in http://ncatlab.org/nlab/show/Kan+extension#PointwiseByConicalLimits (that is, what is the domain category of Δ_{c'})? I suspect it's the terminal category, in which case I'm confused why the notation Δ_{c'} / p rather than just c' / p is being used. Either way, I think that part of the page needs a clarification (either replacing Δ_{c'} with c' and saying that it's a (co)slice category, or mentioning what the indexing category is for the constant diagram functor.)
]]>