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...

definition of a uniformizable space. The topology of a uniformizable space is always a symmetric topology; that is, the space is an R0-space. Conversely,...

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

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

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

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

topological space is metrizable Kolmogorov's normability criterion – Characterization of normable spaces Uniformizable space – Topological space whose topology...

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

properties. Uniformizable/Uniformisable A space is uniformizable if it is homeomorphic to a uniform space. Uniform space A uniform space is a set X equipped...

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

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...

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

uniformizable. Working with uniform structures instead of topologies allows us to formulate uniform properties such as Cauchyness. Convergence space Bogachev...