Tuesday, July 21, 2009

July 18, 2007 - Space is Free
"With metric spaces, things are more complicated, because there are several categories of metric spaces, depending on what is chosen for the morphisms. Certainly the discrete metric space is free when the morphisms are all uniformly continuous maps or all continuous maps, but this says nothing interesting about the metric structure, only the uniform or topological structure. Categories more relevant to the metric structure can be found by limiting the morphisms to Lipschitz continuous maps or to short maps; however, these categories don't have free objects (on more than one element). However, the discrete metric space is free in the category of bounded metric spaces and Lipschitz continuous maps, and it is free in the category of metric spaces bounded by 1 and short maps. That is, any function from a discrete metric space to another bounded metric space is Lipschitz continuous, and any function from a discrete metric space to another metric space bounded by 1 is short."

- http://en.wikipedia.org/wiki/Discrete_space

But I'm not sure that's what I was thinking when I did Freekick last Saturday night when I played Girl Talk, Rhassan Roland Kirk, Kalmunity, Curtis Mayfield, Cry Babies, Bossa N' Ramones, Le Woodchopper's Association et Jah Youssouf, Hotcha!, The Billy Cobham - George Duke Band, The Reptile Palace Orchestra, Hawkwind, Los Diablos, Deep Purple, Rotfront, Dengue Fever, Nutsak, Caetano Veloso, Liverpool, The Dead Weather, The Black Drumset, Le Rossignol et Lafrance, O, and The Legion of Green Men.

To check it out again at your leisure, download an mp3 of the show!
Or stream it if you prefer: go to the CKUT archives page and ask for Sat July 18 from 21:03 to 23:01.

The next show will be on Saturday, August 1 from 9-11 pm on CKUT 90.3 fm. Dave will be back, so expect another action packed evening of listening pleasure. Don't miss it!

And of course there's still the
FREEKICK VIDEO LOUNGE!

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