### Some articles on *regular, completely regular*:

Regular Space - Examples and Nonexamples

... Every such space is

... Every such space is

**regular**... As described above, any**completely regular**space is**regular**, and any T0 space that is not Hausdorff (and hence not preregular) cannot be**regular**... Most examples of**regular**and nonregular spaces studied in mathematics may be found in those two articles ...Tychonoff Space - Properties - Uniform Structures

... In other words, every uniform space has a

... In other words, every uniform space has a

**completely regular**topology and every**completely regular**space X is uniformizable ... Given a**completely regular**space X there is usually more than one uniformity on X that is compatible with the topology of X ...Topology of Uniform Spaces - Uniformizable Spaces

... Every uniformizable space is a

... Every uniformizable space is a

**completely regular**topological space ... Conversely, each**completely regular**space is uniformizable ... A uniformity compatible with the topology of a**completely regular**space X can be defined as the coarsest uniformity which makes all continuous real-valued functions on X uniformly continuous ...### Famous quotes containing the words regular and/or completely:

“[I]n our country economy, letter writing is an hors d’oeuvre. It is no part of the *regular* routine of the day.”

—Thomas Jefferson (1743–1826)

“Physically there is nothing to distinguish human society from the farm-yard except that children are more troublesome and costly than chickens and calves and that men and women are not so *completely* enslaved as farm stock.”

—George Bernard Shaw (1856–1950)

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