I'm learning the basics of homology theory. I'm trying to give the 3-Torus a CW structure and then compute its homology.
I think I understand the approach to giving the 2-torus a CW complex. Then you have a diagram with sides identified to work from. Can I create a 3-d box with side identifications and do something similar? Even if I can, that approach is unsatisfying, as generalizing to the n-torus would be difficult.