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March 21st, 2009, 02:35 PM   #1
Joined: Dec 2008

Posts: 4
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fundamental group, free group

Let be the complement of the following subset of the plane

Prove that is a free group on a countable set of generators.

I don't know how to start this problem. I just need a few helpful hints. Thanks in advance.
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free, fundamental, group

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