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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6510 • Differentiable Manifolds

Fall 2004 • Question 11

Question

Math 6510 • Differentiable Manifolds Fall 2004 • Question 11

Let \(P\) be a discrete set of points in \(\mathbb {R}^n\). Show that \(\mathbb {R}^n\setminus P\) is simply connected if \(n\ge 3\).

Raw LaTeX

Let \(P\) be a discrete set of points in \(\mathbb{R}^n\). Show that
\(\mathbb{R}^n\setminus P\) is simply connected if \(n\ge3\).

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