# 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

## Site Tag Cloud

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

• CommentRowNumber1.
• CommentAuthorStephenGaito
• CommentTimeOct 30th 2009

I have just posed the question:

 If we want to weaken this even further to provide a
simplicial model of, for example, a ((?,2)-category?,
how would we do this?

Would we apply the lifting condition on all but three of
the indicies… and if so which three? (The first, last and ????)


Any and all thoughts would be appreciated.

• CommentRowNumber2.
• CommentAuthorUrs
• CommentTimeOct 31st 2009

there doesn't seem to be an obvious generalization of the step that takes one from the notion of Kan complexes to that of quasi-categories.

Instead, the full notion of weak horn filler conditions for omega-categories seems to be Dominic Verity's notion of complicial set.