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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6510 • Differentiable Manifolds

Fall 1994 • Question 2

Question

Math 6510 • Differentiable Manifolds Fall 1994 • Question 2

Let \(K\subset S^3\) be a knot (a homeomorph of \(S^1\)). Then \(\pi _1(S^3-K,x_0)=\mathbb {Z}\).

Raw LaTeX

Let \(K\subset S^3\) be a knot (a homeomorph of \(S^1\)). Then
\(\pi_1(S^3-K,x_0)=\mathbb{Z}\).

Topic Tags

Fundamental Groups Homotopy Groups