S^3 as a union of two solid tori

From: arzille (arzille_at_ubc.edu)
Date: 08/28/04 

Date: Sun, 29 Aug 2004 00:31:46 +0800

Dear all,
       Can anyone explain why S3 can be expressed a a union of two solid
tori (S1 x 2-Disc) with an embedded torus (S1 x S1) as a common
boundary? The book says it follows easily by expressing R3- {solid
torus} as a unions of circle and a straight line and then add a point at
the infinity. How can I use the hint of the book?

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