A torus is obtained by revolving a circle about an axis in the plane of the circle provided the…

A torus is obtained by revolving a circle about an axis in the plane of the circle provided the axis does not intersect the circle (see Figure 16.10). Let a be the radius of the circle and let b be the distance from the axis of revolution to the center of

the circle. The interior of the torus is the set S given by

Use the method to show that the set S is not simply connected.

 

 

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