metric co-tangent bundles: a happy rant.

man, this co-tangent bundle stuff is so damned cool. right now i'd say that it's cooler than elvis.

to work in this theory, one has to use a little of everything:

the weak-* topology from functional analysis, and worrisome issues of metrizability and nets vs. sequences;

metric derivations which are reminiscient of differential geometry, but with Lipschitz and not smooth flavour;

and the bread and butter of the analysis on metric spaces: the boogeymen fractals, like Cantor sets, Sierpenski carpets, Laakso constructions, and other such things;

it is like seeing old friends, meeting faces that were always familiar but to whom you were never introduced, and then having friendly arm-wrestling contests and laughing after somebody wins.

i mean, it's hard, and sooner or later i'll post here again about how annoying and frustrating all of this is, but i like to think that it's interesting work.

in life, there are plenty of ways to practice drudgery and misery, but to do so in an interesting way .. that is rare, indeed!