Coherent topos

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In mathematics, a coherent topos is a topos generated by a collection of quasi-compact quasi-separated objects closed under finite products. [1]

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Deligne's completeness theorem says a coherent topos has enough points. [2] William Lawvere noticed that Deligne's theorem is a variant of the Gödel completeness theorem for first-order logic. [3]

See also

References

  1. ↑ Jacob Lurie, Categorical Logic (278x). Lecture 11. Definition 6.
  2. ↑ B. Frot, Gödel’s Completeness Theorem and Deligne’s Theorem , arXiv:1309.0389 (2013).
  3. ↑ https://ncatlab.org/nlab/show/Deligne+completeness+theorem


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