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:
“Even in harmonious families there is this double life: the group life, which is the one we can observe in our neighbour’s household, and, underneath, another—secret and passionate and intense—which is the real life that stamps the faces and gives character to the voices of our friends. Always in his mind each member of these social units is escaping, running away, trying to break the net which circumstances and his own affections have woven about him.”
—Willa Cather (1873–1947)