We had a seminar on Gauss words yesterday, and the speaker brought up the fact that there are relatively few cases where the Gauss word could not be reduced to the trivial word. My question is, if the Gausss words can so often be reduced to the trivial word, how is that a good thing? At the least, how is that not a bad thing? Why do we even consider them?
Hey Arcana! Gauss words... homotopy... differential geometry... (I had to look it up.) Is this really general math?
I didn't know where to put it. Knots are topology. Is that algebra? I wasn't sure. I guess algebra would be more appropriate.
Lol I wanted to put it in a topology sub forum but I didn't know we had one! I have all the other math sub forums on my homepage, I must have missed topology somehow. >_<