In mathematics, a topological space (X, T) is called completely uniformizable (or Dieudonné complete) if there exists at least one complete uniformity...

topological space X is uniformizable if there exists a uniform structure on X that induces the topology of X. Equivalently, X is uniformizable if and only...

topological spaces, like completely uniformizable spaces or Čech-complete spaces. The distinction between a completely metrizable space and a complete...

space. In other words, every uniform space has a completely regular topology and every completely regular space X {\displaystyle X} is uniformizable....

topological spaces, the completely uniformizable spaces. A topological space homeomorphic to a separable complete metric space is called a Polish space. Since...

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

used for Čech-complete spaces or completely uniformizable spaces. Topology See Topological space. Totally bounded A metric space M is totally bounded if...

completely metrizability on the class of metrizable spaces, but including some non-metrizable spaces as well), or that it is completely uniformizable...

indistinguishable. A finite topological space is metrizable if and only if it is discrete. Likewise, a topological space is uniformizable if and only if it is R0. The...