I would like to ask if the following statement can be true:
**bosonic topological orders in $n$-dimensional space-time 1-to-1 correspond to unitary fully dualizable fully extended TQFT in $n$-dimensions.**

**Bosonic topological order** has been defined in physics using generalized local unitary equivalence in arXiv:1406.5090
Roughly, it corresponds to unitary TQFT, with boundaries, and the boundaries can have *boundaries*, etc.