The Seifert-van Kampen Theorem Example 4

On The Seifert-van Kampen Theorem page we stated the very important Seifert-van Kampen theorem. We will now look at some examples of applying the theorem. More examples can be found on the following pages:

• The Seifert-van Kampen Theorem Example 1

• The Seifert-van Kampen Theorem Example 2

• The Seifert-van Kampen Theorem Example 3

• The Seifert-van Kampen Theorem Example 4

Example 3

Find the Fundamental group of the solid sphere with a circular tunnel removed (as illustrated below):