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.
• CommentAuthorUrs
• CommentTimeJan 10th 2014

started a stub for ambidextrous adjunction, but not much there yet

• CommentRowNumber2.
• CommentAuthorUrs
• CommentTimeJan 10th 2014
• (edited Jan 10th 2014)

• CommentRowNumber3.
• CommentAuthorTobyBartels
• CommentTimeJan 18th 2014

Will any equivalence between the two adjoints do, or should it be compatible with the units and counits in some way?

• CommentRowNumber4.
• CommentAuthorMike Shulman
• CommentTimeJan 18th 2014

I don’t think there is any compatibility that you can ask for. The specified equivalence between the two adjoints should be regarded as part of the structure, i.e. being an ambijoint is not just a mere property of a functor.

• CommentRowNumber5.
• CommentAuthorUrs
• CommentTimeJan 31st 2014
• (edited Jan 31st 2014)

I have added a paragraph Properties – Fiberwise characterization of ambid. Kan extension in order to record the corresponding result by Hopkins-Lurie.

(Eventually there should maybe be a standalone section/entry on ambidextrous Kan extensions.)

• CommentRowNumber6.
• CommentAuthorvarkor
• CommentTimeJul 26th 2021