* existence of limit and colimits in product categories
@ 2011-06-07 18:10 Viktor Kronenbourg
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From: Viktor Kronenbourg @ 2011-06-07 18:10 UTC (permalink / raw)
To: categories
Hi,
I am looking for references about the existence of limits and colimits
in product categories. More precisely, if A and B are categories, and
AxB is the product category:
- If all pushouts exist in A and B, do the pushouts exist in AxB?
- If not all pushouts exist in A, and all pushout exist in B, do the
pushouts exist in AxB only when they exist in A ?
- If pushouts exist in A and B, do the pushouts in AxB be the product of
the pushout in A and the pushout in B?
I have some difficulties to find references about product categories.
Maybe the answer is simple but it's not evident for me.
Best regards,
Viktor Kronenbourg
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