an apartment in helsinki is harder to find than i expected, especially around september, as the city experiences a rush of students looking for housing. (also, rental prices are high and not very forgiving.)

so at the moment i'm staying at a long-term hotel for university guests. there's a free breakfast included and it's a pretty good spread ..

.. but before you jump to conclusions,

no, i'm not devouring all of their food,at the very least, they must think it odd that i linger over breakfast for hours with this little notepad and pen.

though i am eating more bread than i really should ..

.. on the other hand, i'm drinking a lot of their coffee.

so yes, i'm treating them like a free cafe:

it's clean and there are windows facing the street,they have had mathematicians stay with them, right?

it's quiet and they haven't bothered me yet,

it's a time of day when i do my best thinking ..

.. and a pot of coffee is sitting right there, from 7 to 10am.

..

on a related (technical) note, a project i'm working on has become noticeably more interesting. first of all, the main theorem remains true.

as for a side theorem, an inspection of the proof shows that it only checks a special case. unfortunately, i can no longer give a full characterization of these things called

*measur&alpha,ble dιfferentiable structures*(that is, on dοubling metric measured spaces) .. but only a partial one.

as for why it's interesting: if anyone can prove it, then it will have to be

__very__subtle. put another way, if your proof is too strong, then you could accidentally 'prove' that "every dοubling metric measured space supports a pοincare inequality," which is clearly false.

* .. and yes, i stole the title from an ernest hemingway story .. *

## No comments:

Post a Comment