Objects Defined in Terms of Bases
- The order topology is usually defined as the topology generated by a collection of open-interval-like sets.
- The metric topology is usually defined as the topology generated by a collection of open balls.
- A second-countable space is one that has a countable base.
- The discrete topology has the singletons as a base.
Read more about this topic: Base (topology)
Famous quotes containing the words objects, defined, terms and/or bases:
“It is a misfortune that necessity has induced men to accord greater license to this formidable engine, in order to obtain liberty, than can be borne with less important objects in view; for the press, like fire, is an excellent servant, but a terrible master.”
—James Fenimore Cooper (17891851)
“The cliché that women, more consistently than men, turn inward for sustenance seems to mean, in practice, that women have richly defined the ways in which imagination creates possibility; possibility that society denies.”
—Patricia Meyer Spacks (b. 1929)
“TheologyAn effort to explain the unknowable by putting it into terms of the not worth knowing.”
—H.L. (Henry Lewis)
“In the beginning was the word, the word
That from the solid bases of the light
Abstracted all the letters of the void....”
—Dylan Thomas (19141953)