## Uniformizable Space

In mathematics, a topological space *X* is **uniformizable** if there exists a uniform structure on *X* which induces the topology of *X*. Equivalently, *X* is uniformizable if and only if it is homeomorphic to a uniform space (equipped with the topology induced by the uniform structure).

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### Some articles on uniformizable space:

**Uniformizable Space**- Fine Uniformity

... Given a

**uniformizable space**X there is a finest uniformity on X compatible with the topology of X called the fine uniformity or universal uniformity ... A uniform

**space**is said to be fine if it has the fine uniformity generated by its uniform topology ... is characterized by the universal property any continuous function f from a fine

**space**X to a uniform

**space**Y is uniformly continuous ...

Topology of Uniform Spaces -

... A topological

**Uniformizable Space**s... A topological

**space**is called**uniformizable**if there is a uniform structure compatible with the topology ... Every**uniformizable space**is a completely regular topological**space**... Moreover, for a**uniformizable space**X the following are equivalent X is a Kolmogorov**space**X is a Hausdorff**space**X is a Tychonoff**space**for any ...### Famous quotes containing the word space:

“No being exists or can exist which is not related to *space* in some way. God is everywhere, created minds are somewhere, and body is in the *space* that it occupies; and whatever is neither everywhere nor anywhere does not exist. And hence it follows that *space* is an effect arising from the first existence of being, because when any being is postulated, *space* is postulated.”

—Isaac Newton (1642–1727)

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