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