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Some weighted limits in the 2-category of toposes

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In the first part of the talk, I will introduce weighted (op)lax (co)limits as a special case of weighted (co)limits. As an example I will show that Grothendieck construction of a functor can be obtained by its oplax colimit. The proof of this can be traced back to SGA4 .

In the second part, I will show that the 2-category of toposes has all finite lax colimits. The proof is due to Artin and Wraith.

This talk is part of the Cargo series.

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