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Results tagged with limits-and-colimits
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user 483446
For questions on limits and colimts in the sense of category theory, and related notions.
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Sequential colimit of iterated quotients of Cauchy sequences
$\mathrm{QuotCauchy}$ defined above is an endofunctor on the category of Archimedean ordered fields. Thus, the question above is tantamount to asking whether the sequential limit $\mathrm{QuotCauchy}^ …
- 2,624
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Sequential colimit of iterated quotients of Cauchy sequences
We work in constructive mathematics.
The sets and functions in the foundations form a Grothendieck topos, which means that all colimits exist, and in particular, that all sequential colimits exist. Gi …
- 2,624