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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.

Hello.

Does the category of [edit : elementary] toposes [with logical morphisms] admit any colimits ?

Any reference would be greatly appreciated.

Thanks for any answer and please forgive me for my pityful english.

Hello.

[Edits between brackets.]

Does the [1-]category of [elementary] toposes [with logical morphisms] admit any [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.

added 20 characters in body; added 25 characters in body
Source Link

Hello.

Does the category of [edit : elementary] toposes [with logical morphisms] admit any colimits ?

Any reference would be greatly appreciated.

Thanks for any answer and please forgive me for my pityful english.

Hello.

Does the category of toposes admit any colimits ?

Any reference would be greatly appreciated.

Thanks for any answer and please forgive me for my pityful english.

Hello.

Does the category of [edit : elementary] toposes [with logical morphisms] admit any colimits ?

Any reference would be greatly appreciated.

Thanks for any answer and please forgive me for my pityful english.

Source Link

Is the category of toposes cocomplete ?

Hello.

Does the category of toposes admit any colimits ?

Any reference would be greatly appreciated.

Thanks for any answer and please forgive me for my pityful english.