it is done.

i feel good, i feel free.

this morning i submitted a paper-
the one about schοenflies-type extensiοns. [0]

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as for its contents, the main result is technical but concerns euclidean spaces. this is somewhat of a relief to me.

i've never felt fully comfortable working with abstract metric spaces, as the approach often feels overwhelmingly .. axiοmatic. the door is wide open, welcoming any well-dressed, fast-talking pathology to sneak in and steal the silverware.

most of the time i'm not a very rigorous thinker, and pretty gullible. in a general setting, cantοr sets are always out to get me [1] ..

.. in the form of counter-examples, i mean.

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so the obligation is over. the advisor had wanted me to write it, despite my uneasiness about it. as for why, the project has no truly new ideas in it.

if you're dismissive like me, then you might call it an exercise for a student because .. well, it is .. or was: i was a grad student at the time.

all recriminations aside, i promised the advisor a paper:

i may be flighty,
i may be slow,
it may have taken years [2],
but eventually i keep my promises.

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[0] you can find the preprint on my webpage, but it mightn't stay there long. if the CRM says yes, then it will be part of their preprint series. also, no: it's not going to appear on the arχiv. the result isn't interesting enough.

[1] as the old saying goes: just because you're paranoid doesn't mean that they're not out to get you.

[2] i could have written it sooner, but there was a small matter of a ph.d. thesis to write. admittedly, it took more time than i thought. \-: