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:
“Women stand related to beautiful nature around us, and the enamoured youth mixes their form with moon and stars, with woods and waters, and the pomp of summer. They heal us of awkwardness by their words and looks. We observe their intellectual influence on the most serious student. They refine and clear his mind: teach him to put a pleasing method into what is dry and difficult.”
—Ralph Waldo Emerson (1803–1882)
“[Film noir] experiences periodic rebirth and rediscovery. Whenever we have any moment of deep societal rift or disruption in America, one of the ways we can express it is through the ideas and behavior in film noir.”
—John Briley (b. 1925)