Timeline for Does Banach-Mazur distance between regular polygons admit any structure that lends to approximation or exact results in particular situations?
Current License: CC BY-SA 4.0
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May 15, 2019 at 5:14 | comment | added | James E Hanson | A first-order theory of some structure with a linear order (such as the theory of the structure $(\mathbb{R},0,1,+,\cdot,\leq)$ is O-minimal if every definable set (with parameters) is equal to some finite union of intervals (of possibly infinite or zero length). This is almost certainly not the most elementary proof possible, but that's usually the case when you use a powerful general theorem like the fact that $\mathrm{RCF}$ is O-minimal. | |
May 15, 2019 at 0:26 | comment | added | VS. | What is O-minimality and is this the most elementary proof possible? | |
May 13, 2019 at 17:40 | history | answered | James E Hanson | CC BY-SA 4.0 |