Timeline for Finding non convex functions satisfying a weak form of convexity, without the axiom of choice
Current License: CC BY-SA 3.0
14 events
| when toggle format | what | by | license | comment | |
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| Jun 8, 2016 at 14:17 | vote | accept | Mohammad Safdari | ||
| Jun 8, 2016 at 14:17 | answer | added | Mohammad Safdari | timeline score: 1 | |
| Nov 30, 2015 at 19:18 | comment | added | Suvrit | @YemonChoi to be fair to the original author on the answer on m.SE, I've requested him to post his answer on MO. If he does not post, then I'll post an answer. Thanks! | |
| Nov 30, 2015 at 19:09 | comment | added | Yemon Choi | @suvrit Why not post an answer? | |
| Nov 30, 2015 at 15:31 | comment | added | Mohammad Safdari | @Amir, I'm working on some problems in convex analysis right now, but this question was more out of curiosity than for any particular application. | |
| Nov 30, 2015 at 15:31 | comment | added | Mohammad Safdari | @Suvrit, Thanks a lot. That actually answers my question. | |
| Nov 30, 2015 at 11:52 | comment | added | Mohammad Golshani | somehow related question: Are there any non-linear solutions of Cauchy's equation (f(x+y)=f(x)+f(y)) without assuming the Axiom of Choice?. | |
| S Nov 30, 2015 at 7:33 | history | suggested | user82740 |
I removed the "model theory" tag and added the "continuity". While this is a question about building a model but there is no clear connection between this question and what a model theorist normally deals with. We shouldn't add a model theory tag for every set theory question about building models.
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| Nov 30, 2015 at 6:19 | review | Suggested edits | |||
| S Nov 30, 2015 at 7:33 | |||||
| Nov 30, 2015 at 4:50 | comment | added | user82740 | (+1) Nice question, Mohammad! I doubt if one can find a proof for this theorem without using (any degree of) Axiom of Choice. By the way, can you add some explanations about the motivation for building a model of $ZF+\neg AC$ in which all (continuous or discontinuous) functions which satisfy the condition (1) are convex? Does it have any application in your work or any particular interpretation, say in physics, analysis or statistics? Or this is just a question out of curiosity? | |
| S Nov 30, 2015 at 4:00 | history | suggested | Rahman. M | CC BY-SA 3.0 |
improved formatting
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| Nov 30, 2015 at 3:48 | review | Suggested edits | |||
| S Nov 30, 2015 at 4:00 | |||||
| Nov 29, 2015 at 20:14 | comment | added | Suvrit | There is some related discussion at math.stackexchange.com/questions/876410/… which in particular mentions a model of set theory where such functions are convex. | |
| Nov 29, 2015 at 18:28 | history | asked | Mohammad Safdari | CC BY-SA 3.0 |