Mathcamp
Camp is as crazy as ever. Coteaching algebraic topology with Dan has been great (we've gotten through Mayer-Vietoris by the end of the second day).
Nina gave me an awesome example for Mayer-Vietoris. Take two Mobius strips, and glue the boundary of one to the central circle of the second. Then glue the boundary of the second to the central circle of the first. This can be done in two distinct ways: either in the same direction as the first gluing, or the opposite. Prove that the two resulting spaces are not homeomorphic. :-D
Though most things are going well, some things make me sad. Campers leaving early, for example. :-(
Anyway, I have to get back to class prep.
Nina gave me an awesome example for Mayer-Vietoris. Take two Mobius strips, and glue the boundary of one to the central circle of the second. Then glue the boundary of the second to the central circle of the first. This can be done in two distinct ways: either in the same direction as the first gluing, or the opposite. Prove that the two resulting spaces are not homeomorphic. :-D
Though most things are going well, some things make me sad. Campers leaving early, for example. :-(
Anyway, I have to get back to class prep.