# $T$, $T^{-1}$ transformation is not loosely Bernoulli

### Abstract

The $T,T^{-1}$ problem, open since 1971, is to demonstrate that the $T,T^{-1}$ transformation, a naturally arising $K$ transformation, is not Bernoulli. It is shown here not even to be loosely Bernoulli.

## Authors

Steven Arthur Kalikow