Problem Sheet R
- Problem 1 gives another algebraic proof that $ \pi_n(X)$ is abelian for $n \ge 2$.
- Problem 2 shows that any map can be "replaced" by a fibration.
- Problems 3 and 4 are about the long exact sequence of homotopy groups for (weak) fibrations.
- Problem 5 gives an example of two spaces whose homology groups are the same, but whose homotopy groups are not. This is an “exam style” question.
🤓 Feel free to ask a question if you are stuck! 🤓
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