 #1
 54
 0
Homework Statement
Find the fundamental group of [itex]T^{n}[/itex], the torus with n holes, by finding the planar representation of [itex]T^{n}[/itex].
Homework Equations
I'm just having a hard time finding the planar representation of [itex]T^{n}[/itex]. I can't picture it.
The Attempt at a Solution
I can see how the picture attached rolls up into a torus. It rolls into a cylinder and then curls around into a doughnut. I am just having a hard time seeing how I can get a torus with 2 holes, 3 holes etc.
Thanks!
P.S. this isn't a very rigorous class. If I just understand how/why then the teacher is happy. He's not much of a proof guy. He's happy with geometric/picture arguments.
Attachments

2.1 KB Views: 341