Topological Net
All of the above notions of limit can be unified and generalized to arbitrary topological spaces by introducing topological nets and defining their limits.
An alternative is the concept of limit for filters on topological spaces.
Read more about this topic: Limit (mathematics)
Famous quotes containing the word net:
“A culture may be conceived as a network of beliefs and purposes in which any string in the net pulls and is pulled by the others, thus perpetually changing the configuration of the whole. If the cultural element called morals takes on a new shape, we must ask what other strings have pulled it out of line. It cannot be one solitary string, nor even the strings nearby, for the network is three-dimensional at least.”
—Jacques Barzun (b. 1907)