Topological Models for Entangling Interactions

Edwards (300) examined the classification problem for a random coil bound at its end points and an infinite rod oriented normal to the end-to-end vector of the coil  

In general, it appears that the fraction of configurations in the various topological classes can be determined for models in which one of the elements is a fixed curve and the other is a random coil. The detailed calculations are intricate and difficult, however, and some simple generalizations are needed which could be used as a step towards building classification effects into the network theories. Classification for the case of two random coils and for self-entanglement are unsolved problems at the present time. 

---