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pseudometrics. Showing that a space is uniformizable is much simpler than showing it is metrizable. In fact, uniformizability is equivalent to a common separation...

paracompact, hence completely uniformizable. As there exist metrizable spaces that are not completely metrizable, complete uniformizability is a strictly weaker...

metrization theorem – Characterizes when a topological space is metrizable Uniformizability – Topological space whose topology is generated by a uniform structurePages...

topological space is called uniformizable if there is a uniform structure compatible with the topology. Every uniformizable space is a completely regular...

also used for other classes of topological spaces, like completely uniformizable spaces or Čech-complete spaces. The distinction between a completely...

discrete-time Markov chain analogous to a continuous-time Markov chain Uniformizable space, a topological space whose topology is induced by some uniform...

topology and every completely regular space X {\displaystyle X} is uniformizable. A topological space admits a separated uniform structure if and only...

topologically complete for a wider class of topological spaces, the completely uniformizable spaces. A topological space homeomorphic to a separable complete metric...

Kolmogorov's normability criterion – Characterization of normable spaces Uniformizable space – Topological space whose topology is generated by a uniform structure...

Because this topology is generated by a family of pseudometrics, it is uniformizable. Working with uniform structures instead of topologies allows us to...

including some non-metrizable spaces as well), or that it is completely uniformizable (also called topologically complete or Dieudonné-complete by some authors)...

metrizable if and only if it is discrete. Likewise, a topological space is uniformizable if and only if it is R0. The uniform structure will be the pseudometric...

isomorphic and share the same uniform properties. Uniformizable/Uniformisable A space is uniformizable if it is homeomorphic to a uniform space. Uniform...