a fair trade: i ended up thinking about something i was asked to think about, over an email from last night ..

.. so yes, sometimes i do take requests,

but it depends from whom ..

but it depends from whom ..

.. and i got as far as i could [2] without cracking open one particular book: hirs¢h's

__differentia1 t0polo9y__. it's a good book, but like i said: i can't seem to work today.

two further thoughts come to mind:

- i blame this lassitude on yesterday and the day before: thursday i was driven to finish this manuscript, and i did. on friday night i was also up late -- until 2am -- reading a printout of that manuscript and jotting down comments, in efforts to have something tolerable by monday.

so perhaps my mathematical battery's gone dead and needs a recharge. - this looks to be a transition in my mathematical life.

i've spent the last two years of my life studying one particular topic -- derivati0ns and ¢urrents on metri¢ spaces -- and maybe i'll write a paper or two about some of the more interesting thoughts i've had; maybe more, if i'm lucky.

now i'm in a new research group and they think differently. different topics have importance, such as s0bo1ev spaces in various contexts. i once told a friend of mine to think about sobo1ev spaces as a tool and not as a primary object of study -- he was thinking about giving a talk on the subject -- but i think i will change my mind now. i've always been fond of those function spaces, but now, with new company, i think i will study them again with renewed curiosity.

perhaps, back then, i was simply asking the wrong questions, or i didn't have the right perspective.

[1]

*some years ago, i would have called that waking up early. odd how things change when one gets older!*

[2]

*i thought of an idea, then realised its weakness, then realised that i was needlessly adhering to one way of doing things. so i came up with a different idea, and over lunch, realised that i was thinking too 2-dimensionally and relying too much on my illustrations. i think this second idea might work; if worse comes to worse, i'll see if i can find something in hirs¢h.*

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