bigroupoid valued functors

bigroupoid valued functors

[David Roberts]

Hi all,

In the following let Bigpd denote the _category_ of bigroupoids and
2-functors. I have a category C with a full subcategory i:D --> C and
a pair of functors

P_C: C --> Bigpd
P_D: D --> Bigpd

and a natural transformation t : P_D => P_C\circ i. The components of
t are biequivalences, and in fact (non-strict) inclusions of
sub-bigroupoids.

I would like to know if it is possible to define a functor P' : C -->
Bigpd that agrees (on objects) with P_D on D and with P_C on the rest
of C.

Cheers,

David


[For admin and other information see: http://www.mta.ca/~cat-dist/ ]