- #1
bham10246
- 62
- 0
Please read the following problem first:
Suppose n > 1 and let S^n be the n-sphere in R^{n+1}. Let e be the unit-coordinate vector (1,0,...,0) on S^n. Prove that the fundamental group pi_1(S^n;e) is the trivial group.
Okay, now my question is what does the notation "pi_1(S^n;e)" mean?
I understand the fundamental group but I don't understand the "semi-colon and then an element"-part.
Thank you!
Suppose n > 1 and let S^n be the n-sphere in R^{n+1}. Let e be the unit-coordinate vector (1,0,...,0) on S^n. Prove that the fundamental group pi_1(S^n;e) is the trivial group.
Okay, now my question is what does the notation "pi_1(S^n;e)" mean?
I understand the fundamental group but I don't understand the "semi-colon and then an element"-part.
Thank you!