Timeline for Classifying non atomic singular measures up to topological conjugacy
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
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| Apr 3, 2021 at 4:06 | comment | added | erz | yes, $A$ is arbitrary measurable, but the whole point is that $h$ is independent of $A$. Check out Nishiura - Absolute Measurable Spaces, section 3.4 | |
| Apr 3, 2021 at 2:57 | comment | added | Nate River | Thank you, that seems like it could be relevant indeed. Just to clarify, here A is an arbitrary measurable set, and the choice of h in general depends on A? | |
| Apr 3, 2021 at 2:43 | comment | added | erz | There is Ulam-Oxtoby theorem that says that if two measures $\mu$ and $\nu$ on $[0,1]$ are non-atomic, and every open set if of positive measure, then there is a homemorphism $h$ such that $\mu(A)=\nu(h(A))$. I cannot quite understand if there is any relation between this condition and topological conjugacy, but perhaps it is relevant | |
| Apr 3, 2021 at 1:08 | history | asked | Nate River | CC BY-SA 4.0 |