- #1
PsychonautQQ
- 784
- 10
This space is homotopy equivalent to the complement of the three coordinate axes in ##R^3##.
This is in the chapter about the Seifert-Van Kampen Theorem, so I'm expecting to invoke that theorem.
The thing is, how should we choose our open sets such that the intersection is path connected and that we can compute the fundamental groups of each open set?
Anyone want to help me get started on this one?
This is in the chapter about the Seifert-Van Kampen Theorem, so I'm expecting to invoke that theorem.
The thing is, how should we choose our open sets such that the intersection is path connected and that we can compute the fundamental groups of each open set?
Anyone want to help me get started on this one?