Category:Pseudometrizable Topologies

This category contains results about Pseudometrizable Topologies.

Let $\struct {S, d}$ be a pseudometric space.

Let $\struct {S, \tau_d}$ be the topological space induced by $d$.

Then for any topological space which is homeomorphic to such a $\left({S, \tau_d}\right)$, it and its topology are defined as pseudometrizable.