# Coherence For Continuous Price Processes

This question belongs to continuous-time game-theoretic probability. The sample space is the set of all continuous, or positive and continuous, functions of time.

- Let be the set of all non-constant functions in . Is it true that the upper probability of is strictly positive? equal to 1?

### Bibliography

- Vladimir Vovk. Rough paths in idealized financial markets. arXiv technical report, May 2010.