# Start a new discussion

## Not signed in

Want to take part in these discussions? Sign in if you have an account, or apply for one below

## Discussion Tag Cloud

Vanilla 1.1.10 is a product of Lussumo. More Information: Documentation, Community Support.

• CommentRowNumber1.
• CommentAuthorMike Shulman
• CommentTimeNov 3rd 2010

Created slice 2-category.

• CommentRowNumber2.
• CommentAuthorHurkyl
• CommentTimeJan 11th 2021

I’ve swapped the direction of the natural transformation component of the 1-cells, so that removing the isomorphism condition gives the lax slice 2-category agreeing with the convention in 2-Dimensional Categories by Johnson, Yau.

Additionally, I’ve explicitly stated the direction of that component in the lax slice 2-category.

I’m not sure if this is standardized; feel free to revert if nLab has an active preference for the other convention.

• CommentRowNumber3.
• CommentAuthorMike Shulman
• CommentTimeJan 11th 2021

I don’t know if there is a standard convention, but the one you adopted has the virtue of making the canonical “comma square” of the “lax-slice” a lax natural transformation, so it seems at least reasonable. I added a remark to this effect, and a citation to Johnson-Yau.

• CommentRowNumber4.
• CommentAuthorMike Shulman
• CommentTimeJan 11th 2021

(Apparently \sslash is not recognized inside tikzcd?)