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I am trying to " see" the result of doing the disjoint union of two solid tori, with their boundaries identified .Any help?

vanmeri
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  • Are they being identified with an identity mapping? – snulty Aug 02 '17 at 11:52
  • Good question!I didn't realice. Yes, with the identity... – vanmeri Aug 04 '17 at 20:43
  • The links on this mathse question might be useful to you. I'm not saying it directly answers your question, but they might be helpful in how you can think of gluing solid tori. I don't know myself. – snulty Aug 07 '17 at 14:10

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Visualize it as a solid but transparent torus silvered on the boundary.

A ray inside the torus would strike the silvered boundary and "reflect" into the second torus. Each internal reflection would be regarded as the ray passing into the other torus.

John Wayland Bales
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