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Timeline for What is a field [Körper] really?

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Apr 22, 2019 at 22:10 review Close votes
Apr 23, 2019 at 7:08
Aug 22, 2016 at 20:53 answer added მამუკა ჯიბლაძე timeline score: 6
May 25, 2016 at 9:51 comment added Neil Strickland This question is relevant: mathoverflow.net/questions/3003
May 22, 2016 at 17:01 comment added Todd Trimble @BenjaminSteinberg That's true for the notion of "discrete field" as discussed in the nLab, ncatlab.org/nlab/show/field, but as it turns out that's a rather restrictive notion. (E.g., the Dedekind reals in a topos do not form a field in this sense.) A somewhat vexing issue is that constructively speaking, there is a variety of notions.
May 20, 2016 at 21:51 answer added Qiaochu Yuan timeline score: 28
May 20, 2016 at 21:41 comment added Benjamin Steinberg The theory of fields fits into the context of coherent geometric logic in topos theory.
May 20, 2016 at 19:59 comment added Sylvain JULIEN If I'm not mistaken, Grothendieck generalized Galois Theory in quite a broad way (not in the Big Apple though), so I'm not sure that a formalization of Galois theory is needed. Still, I think Marc Krasner (spelling?) did study an abstract Galois theory, I kind of remember having read a PDF entitled "Théorie de Galois abstraite" that could be of interest if you read French.
May 20, 2016 at 19:46 history asked Drew Armstrong CC BY-SA 3.0