The decomposition conjecture for W-topological fields in characteristic zero

Let $(K,\tau)$ be a $W$-topological field of characteristic $0$. Decomposition conjecture. The topology $\tau$ is generated by jointly independent topologies $\tau_1,\ldots,\tau_n$, and each $\tau_i$ has a unique V-topological coarsening. The conjecture concerns the structure of higher-rank analogues of V-topologies; the source does not specify its resolution status.