Some articles on complete, space, uniform spaces, uniform space, uniform:
Uniform Space - Completeness
... Generalising the notion of complete metric space, one can also define completeness for uniform spaces ... A Cauchy filter F on a uniform space X is a filter F such that for every entourage U, there exists A∈F with A×A ⊆ U ... each filter that converges (with respect to the topology defined by the uniform structure) is a Cauchy filter ...
... Generalising the notion of complete metric space, one can also define completeness for uniform spaces ... A Cauchy filter F on a uniform space X is a filter F such that for every entourage U, there exists A∈F with A×A ⊆ U ... each filter that converges (with respect to the topology defined by the uniform structure) is a Cauchy filter ...
Famous quotes containing the words space, complete and/or uniform:
“... the movie woman’s world is designed to remind us that a woman may live in a mansion, an apartment, or a yurt, but it’s 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)
“Better wear out shoes than sheets.”
—18th-century Scottish proverb, collected in J. Kelly, Complete Collection of Scottish Proverbs (1721)
“Thus for each blunt-faced ignorant one
The great grey rigid uniform combined
Safety with virtue of the sun.
Thus concepts linked like chainmail in the mind.”
—Thom Gunn (b. 1929)
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