I asked the following question on MathStackExchange, but I have not received any answers after almost 3 days. Although it may not be a research level question, I thought I could ask it here.
*"Is there any natural approach to generalize the idea of binary bracketing (bracketing functions or any of its equivalent notions) to the continuous case, such that the well-known discrete version becomes a special case of the general theory?"
In other words, could this notion be extended to the continuous setting?
Here is the link of my question on MathStackExchange: http://math.stackexchange.com/questions/1061963/generalization-of-binary-bracketinghttps://math.stackexchange.com/questions/1061963/generalization-of-binary-bracketing