Sunday, September 19, 2010

notes for discussion with alex today...

??trying to concretely identify limit/colimit reversal on free ab cat on for example walking object??

??something about indecomposable module as cyclic?? no wait, need irreducible for that??? hmm, how much might that complicate certain answers??...

hmm, well then what _about_ trying to approach the classification problem via the irreducibles instead of the indecomposables?? some general principle (??_how_ general??) that makes this work better than you might have at first hoped?? something about jordan-hoelder braiding??

?? ext(z/p,x) vs x tensor z/p ... ??

??issue of weighted colimits in abelian categories... and so forth...

...lots of other stuff...

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