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Question

Math 6510 • Differentiable Manifolds

Spring 2017 • Question 8

Show that the union of circles in \(\mathbb {R}^2\) with centers at \((0,\frac {1}{2n})\) and radius \(\frac {1}{n}\) does not have a universal cover.

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Show that the union of circles in \(\R^2\) with centers at
\((0,\frac{1}{2n})\) and radius \(\frac{1}{n}\) does not have a universal cover.