# Completely Regular Space

### Some articles on space, regular:

Topological Property - Common Topological Properties - Separation
... A space is Kolmogorov if for every pair of distinct points x and y in the space, there is at least either an open set containing x but not y, or an ... A space is Fréchet if for every pair of distinct points x and y in the space, there is an open set containing x but not y ... will be contained in the open set.) Equivalently, a space is T1 if all its singletons are closed ...
Regular Cardinal
... In set theory, a regular cardinal is a cardinal number that is equal to its own cofinality ... So, crudely speaking, a regular cardinal is one which cannot be broken into a smaller collection of smaller parts ... any cardinal number can be well-ordered), an infinite cardinal is regular if and only if it cannot be expressed as the cardinal sum of a set of cardinality less than, the elements of which are ...
Regular - Other Uses
... Regular character, a main character who appears more frequently and/or prominently than a recurring character Regular customer, a person who visits the same restaurant, pub, store ... Regular footedness in boardsports, a stance in which the left foot leads Regular division of the plane, a series of drawings by the Dutch artist M ... The Regular Baptists, an 18th century American and Canadian Baptist group ...
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 ... universal property any continuous function f from a fine space X to a uniform space Y is uniformly continuous ...
Pentagram - Geometry
... The pentagram is the simplest regular star polygon ... Like a regular pentagon, and a regular pentagon with a pentagram constructed inside it, the regular pentagram has as its symmetry group the dihedral group of order 10 ...

### Famous quotes containing the words space, completely and/or regular:

Art and power will go on as they have done,—will make day out of night, time out of space, and space out of time.
Ralph Waldo Emerson (1803–1882)

... nothing seems completely to differentiate the poor but poverty. We find no adjectives to fit them, as a whole, only those of which Want is the mother. “Miserable” covers many; “shabby” most, and I am sadly aware that, in a large majority of minds, “disagreeable” includes them all.
Albion Fellows Bacon (1865–1933)

My attitude toward punctuation is that it ought to be as conventional as possible. The game of golf would lose a good deal if croquet mallets and billiard cues were allowed on the putting green. You ought to be able to show that you can do it a good deal better than anyone else with the regular tools before you have a license to bring in your own improvements.
Ernest Hemingway (1899–1961)