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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6510 • Differentiable Manifolds

Fall 2001 • Question 14

Question

Math 6510 • Differentiable Manifolds Fall 2001 • Question 14

Let \(X\subset \mathbb {R}^3\) be the union of \(n\) lines through the origin. Compute \(\pi _1(\mathbb {R}^3\setminus X)\).

Raw LaTeX

Let \(X\subset\mathbb{R}^3\) be the union of \(n\) lines through the origin.
Compute \(\pi_1(\mathbb{R}^3\setminus X)\).

Topic Tags

Fundamental Groups Homotopy Groups