暇つぶし2chat MATH
- 暇つぶし2ch250:license: creativecommons.org/publicdomain/zero/1.0/ October 22, 2018 P3 This point is a key point of contention with Scholze?Stix, who claim that their omission of such labels do not affect the result. At this point in time, I cannot tell whether Scholze?Stix’s simplifications preserve structural information (their claim) or lose structural information (Mochizuki’s claim). These notes are to rather going to examine Mochizuki’s examples in the Report to find precise mathematical statements underlying them, and what thinking about them structurally can say. At times Mochizuki’s examples are formulated so that the structural content is unclear (mostly because the required categories are not supplied), and at times they are expressed in a material way, but with an underlying structural idea obscured by the jargon. I will start by considering an abstract category-theoretic setup that underlies several of Mochizuki’s examples, shorn of all irrelevant information and commentary. つづく
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