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. Thanks in advance.

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- March 21st 2009, 02:32 PMmingcai6172fundamental 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. Thanks in advance. - March 22nd 2009, 07:41 PMaliceinwonderland