18/12/26 10:50:00.93 rL7y7qtu.net
Quanta maGazine
September 20, 2018
PSとJSの指摘
>The proof, as Scholze and Stix describe it,
involves viewing the volumes of
the two sets as living inside two different
copies of the real numbers, which are then
represented as part of a circle of six different
copies of the real numbers, together with
mappings that explain
how each copy relates to its neighbors along
the circle.
To keep track of how the volumes of
sets relate to one another,
it’s necessary to understand how volume
measurements in one copy relate to
measurements in the other copies,
Stix said.
“If you have an inequality of two things
but the measuring stick is sort of
shrunk by a factor which you don’t
control, then you lose control over
what the inequality actually means,”
Stix said.