Timeline for Point mapping induces a set mapping
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
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| Sep 6, 2011 at 4:19 | history | edited | Daniel Mansfield | CC BY-SA 3.0 |
deleted 2 characters in body; edited tags
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| Aug 26, 2011 at 23:32 | vote | accept | Daniel Mansfield | ||
| Aug 26, 2011 at 14:44 | answer | added | Igor Rivin | timeline score: 1 | |
| Aug 26, 2011 at 2:09 | comment | added | David Roberts♦ | Maybe I'm mistaken about the finiteness making things easier. :) | |
| Aug 26, 2011 at 2:07 | comment | added | David Roberts♦ |
I'm not sure what theorem, but quickly scanning the paper, the condition 'both ladder sets are algebra complete' seems to imply that the family ${\theta_k\}$ defines a mapping of Boolean algebras $B \to B'$. The theorem you are looking for is probably something along the lines of: given a mapping of Boolean algebras $B\to B'$ where $B$ and $B'$ are $\sigma$-algebras of finite measure spaces $X$ and $X'$ resp., one has a map $X\to X'$ of the underlying sets (finite because this is what the authors assume). Finiteness here makes this much easier. But I'm not an expert in this field.
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| Aug 26, 2011 at 1:52 | history | asked | Daniel Mansfield | CC BY-SA 3.0 |