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:
“There is nothing but is related to us, nothing that does not interest us,—kingdom, college, tree, horse, or iron show,—the roots of all things are in man.”
—Ralph Waldo Emerson (1803–1882)
“What persuades men and women to mistake each other from time to time for gods or vermin is ideology. One can understand well enough how human beings may struggle and murder for good material reasons—reasons connected, for instance, with their physical survival. It is much harder to grasp how they may come to do so in the name of something as apparently abstract as ideas. Yet ideas are what men and women live by, and will occasionally die for.”
—Terry Eagleton (b. 1943)