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 ... pathetic to observe the complete lack of imagination on the part of certain employers and men and women of the upper-income levels, equally devoid of experience, equally glib with their criticism ... directed against workers, labor leaders, and other villains and personal devils who are the objects of their dart-throwing. Who doesnt know the wealthy woman who fulminates against the idle workers who just wont get out and hunt jobs?”
—Mary Barnett Gilson (1877?)
“...I didnt consider intellectuals intelligent, I never liked them or their thoughts about life. I defined them as people who care nothing for argument, who are interested only in information; or as people who have a preference for learning things rather than experiencing them. They have opinions but no point of view.... Their talk is the gloomiest type of human discourse I know.... This is a red flag to my nature. Intellectuals, to me have no natures ...”
—Margaret Anderson (18861973)
“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)