Some articles on spaces, uniform space, hausdorff, hausdorff uniform space:
... As with metric spaces, every uniform space X has a Hausdorff completion that is, there exists a complete Hausdorff uniform space Y and a uniformly continuous map i X → Y with the following property for any ... The Hausdorff completion Y is unique up to isomorphism ... X, and thus i is injective precisely when X is Hausdorff ...
Famous quotes containing the words space and/or uniform:
“... the movie womans world is designed to remind us that a woman may live in a mansion, an apartment, or a yurt, but its all the same thing because what she really lives in is the body of a woman, and that body is allowed to occupy space only according to the dictates of polite society.”
—Jeanine Basinger (b. 1936)
“He may be a very nice man. But I havent got the time to figure that out. All I know is, hes got a uniform and a gun and I have to relate to him that way. Thats the only way to relate to him because one of us may have to die.”
—James Baldwin (19241987)