0708-1300/Homework Assignment 11

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Contents

Reading

Read, reread and rereread your notes to this point, and make sure that you really, really really, really really really understand everything in them. Do the same every week!

Also, read section 6-11 and 17 of chapter IV of Bredon's book three times:

  • First time as if you were reading a novel - quickly and without too much attention to detail, just to learn what the main keywords and concepts and goals are.
  • Second time like you were studying for an exam on the subject - slowly and not skipping anything, verifying every little detail.
  • And then a third time, again at a quicker pace, to remind yourself of the bigger picture all those little details are there to paint.

Doing

Solve the following problems from Bredon's book, but submit only the solutions of the problems marked with an "S" - problem 1 on page 182, problems S1, S2, S3 and S4 on page 190, problems 1, 2 and S3 on page 194 and problems 2 and 3 on page 198.

Due Date

This assignment is due in class on Thursday March 27, 2008.

Just for Fun

A function f:S^n\to S^n is called "odd" if f(-x)=-f(x). Try to prove that the degree of an odd function f:S^n\to S^n is an odd integer.