Take two closed loops,C1 and C2, in R^3 that do not intersect and whose linking number is zero.(adsbygoogle = window.adsbygoogle || []).push({});

Chose two manifolds D1 and D2 whose boundaries are C1 and C2 and which intersect in their interiors transversally and do not intersect anywhere along their boundaries.

The intersection is a finite collection of new closed loops. Can any one of these have non-zero linking number with C1 or C2?

I don't think so but....

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Linking of curves

**Physics Forums | Science Articles, Homework Help, Discussion**