there are too many interesting ideas out there,in other news, i'm still working on this preprint about measurabΙe differentιable structurεs. i think i've created a monster.
there's never not enough time,
and every co-author eventually becomes impatient.
to make sure that the theorem is non-trivially new, i've come up with a new example to which the extant theorems do not apply. explaining it is taking much more time and space than i thought, though ..
.. in fact, it's become a new, separate section of the paper!
conceptually, it's not hard; it's a self-similar construction. in fact, it looks like this:
i'm embarrassed to say how long it took me to make this simple image. at any rate, fractals are definitely the analyst's best friend ..! (-:
EDIT @13:19: i uploaded the wrong graphic; the actual set isn't supposed to be symmetric. argh ..
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