Related Ideas
In a metric space or uniform space, one can speak of Cauchy nets in much the same way as Cauchy sequences. The concept even generalises to Cauchy spaces.
The theory of filters also provides a definition of convergence in general topological spaces.
Read more about this topic: Net (mathematics)
Famous quotes containing the words related and/or ideas:
“Becoming responsible adults is no longer a matter of whether children hang up their pajamas or put dirty towels in the hamper, but whether they care about themselves and others—and whether they see everyday chores as related to how we treat this planet.”
—Eda Le Shan (20th century)
“The uppermost idea with Hellenism is to see things as they really are; the uppermost ideas with Hebraism is conduct and obedience. Nothing can do away with this ineffaceable difference. The Greek quarrel with the body and its desires is, that they hinder right thinking; the Hebrew quarrel with them is, that they hinder right acting.”
—Matthew Arnold (1822–1888)