Definition:Quasiuniformizable Space

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Definition

Let $T = \struct {S, \tau}$ be a topological space.


Then $T$ is quasiuniformizable if and only if there exists a quasiuniformity $\UU$ on $S$ such that $\struct {\struct {S, \UU}, \tau}$ is a quasiuniform space.


Also see


Linguistic Note

The British English spelling for quasiuniformizable is quasiuniformisable.

It would be convenient if there could be a simpler term coined which can be used instead. Eight syllables is rather a lot. On the other hand, as every Topological Space is Quasiuniformizable, the concept is probably not that important to need one.


Sources