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:
“There is a very remarkable inclination in human nature to bestow on external objects the same emotions which it observes in itself, and to find every where those ideas which are most present to it.”
—David Hume (17111776)
“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)
“If men do not keep on speaking terms with children, they cease to be men, and become merely machines for eating and for earning money.”
—John Updike (b. 1932)
“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)