talking to alex this morning ... ran into idea that in tag doctrine as presently construed, maybe sums of dualizable objects aren't dualizable ... ??and so forth ...

??which raises a bunch of questions ... like what about the alleged "toric quasicoherent sheaves over the projective line"; what objects are dualizable there ??? .... and so forth ... ???....

??and if the projective line ag theory has more than one tag theory precursor, then what if anything singles one out as special ?? ... ???and so forth ... ????.....

??hmm, well, seems clear that in the toric quasicoherent sheaves over the projective line, 1+1 (for example) _isn't_ dualizable .... ???is that correct?? ...