Coherent topos: Difference between revisions

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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]

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

^ 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

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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.<ref>Jacob Lurie, [https://www.math.ias.edu/~lurie/278x.html Categorical Logic (278x)]. Lecture 11. Definition 6.</ref>
-[[Deligne's completeness theorem]] says a coherent topos has [[enough points]].<ref> B. Frot, Gödel’s Completeness Theorem and Deligne’s Theorem , arXiv:1309.0389 (2013).</ref>
+[[Deligne's completeness theorem]] says a coherent topos has [[enough points]].<ref> B. Frot, Gödel’s Completeness Theorem and Deligne’s Theorem , arXiv:1309.0389 (2013).</ref> William Lawvere noticed that that Deligne's theorem is a variant of the [[Gödel completeness theorem]] for first-order logic.<ref> https://ncatlab.org/nlab/show/Deligne+completeness+theorem</ref>
 == See also ==