Timeline for Converse to Banach’s fixed point theorem for ordered fields?
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
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| Apr 13, 2017 at 12:57 | history | edited | CommunityBot |
replaced http://mathoverflow.net/ with https://mathoverflow.net/
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| May 26, 2011 at 14:19 | vote | accept | James Propp | ||
| May 24, 2011 at 23:40 | answer | added | George Lowther | timeline score: 15 | |
| May 24, 2011 at 18:16 | comment | added | Pete L. Clark | Nice question. Just a comment: the standard proof works in an ordered field $R$ such that (i) Cauchy sequences converge and (ii) For all $0 < r < 1$, $r^n \rightarrow 0$. But the point is that these properties force $R$ to be complete Archimedean, i.e., $R \cong \mathbb{R}$. | |
| May 24, 2011 at 17:14 | history | edited | James Propp | CC BY-SA 3.0 |
added 491 characters in body
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| May 24, 2011 at 17:04 | history | asked | James Propp | CC BY-SA 3.0 |