Hello.
[Edits between brackets.]
Does the category[1-]category of [edit : elementary][elementary] toposes [with logical morphisms] admit any colimits[1-]colimits ?
[By colimit I mean initial object in the category of outgoing cocones. I'm afraid I don't know what pseudo-colimits, bicolimits or strict 2-limits are, but I can say that I'm not interested by any 2-categorical aspect of my question (at least, for now), just by the 1-categorical one.]
Any reference would be greatly appreciated.
Thanks for any answer and please forgive me for my pityful english.