In reply to jimtitt:
I, unfortunately, don't have a PhD. I do however know that, in the vast majority of cases, if I was to be left stranded on a cliff in either
a) climbing boots but no chalk
b) good trainers and a chalk bag
I'd go for b) the majority of the time.
Boots need to be warm enough to work properly. If the air/rock is cold and your feet are too, then the boots won't warm up enough, and their frictioanl qualities will be reduced. It's a lot like winter and summer car tyres, but boot manufacturers tend not to produce the 'winter tyre' version of boots. I'm fortunate enough to have some however, it really makes a difference.
As for skin. Well, there comes a point when your skin becomes too dry and vaneered, it's rubbish then. I've spent as much time spitting on my hands today as chalking up in order to keep their friction up.
So, as for the "mysteries of friction", yes, it does improve as the temperature drops, but only to a point and then cold boots/glassy skin/cold muscles become more of an issue and the benefit is lost and you'll expend more energy trying to keep skin and boots at the ideal temperature than is beneficial to climbing efficiency.