We know a torus is $S^1 \times S^1 =T^2$.
We know a solid torus is $D^2 \times S^1$ whose boundary is a torus $S^1 \times S^1 =T^2$.
What is the definition of a rim torus?
2026-03-28 01:35:30.1774661730
Definition of a rim torus
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It's not a new topological space; it's still a torus $T^2$. In the context of certain manifold surgery, called rim surgery, a particular torus merits investigation, and so the mathematicians who introduced the surgery (Fintushel and Stern) called it the rim torus.