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:
“I stand in the sunny noon of life. Objects no longer glitter in the dews of morning, neither are yet softened by the shadows of evening.”
—Margaret Fuller (1810–1850)
“A Tory..., since the revolution, may be defined in a few words, to be a lover of monarchy, though without abandoning liberty; and a partizan of the family of Stuart. As a Whig may be defined to be a lover of liberty though without renouncing monarchy; and a friend to the settlement in the protestant line.”
—David Hume (1711–1776)
“If you want to be on good terms with everyone in this world, sell goods on credit and never ask for payment.”
—Chinese proverb.
“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 (1914–1953)