In mathematics, a coherent topos is a topos generated by a collection of quasi-compact quasi-separated objects closed under finite products.[1]
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
editReferences
edit- ^ Jacob Lurie, Categorical Logic (278x). Lecture 11. Definition 6.
- ^ B. Frot, Gödel’s Completeness Theorem and Deligne’s Theorem , arXiv:1309.0389 (2013).
- ^ https://ncatlab.org/nlab/show/Deligne+completeness+theorem
- Peter Johnstone, Sketches of an Elephant
External links
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