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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6510 • Differentiable Manifolds

Spring 2009 • Question 8

Question

Math 6510 • Differentiable Manifolds Spring 2009 • Question 8

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

Raw LaTeX

Let \(X\subset\R^3\) be the union of \(n\)-lines through the origin. Calculate
\(\pi_1(\R\backslash X)\).

Topic Tags

Fundamental Groups Homotopy Groups