History
General topology grew out of a number of areas, most importantly the following:
- the detailed study of subsets of the real line (once known as the topology of point sets, this usage is now obsolete)
- the introduction of the manifold concept
- the study of metric spaces, especially normed linear spaces, in the early days of functional analysis.
General topology assumed its present form around 1940. It captures, one might say, almost everything in the intuition of continuity, in a technically adequate form that can be applied in any area of mathematics.
Read more about this topic: General Topology
Famous quotes containing the word history:
“No matter how vital experience might be while you lived it, no sooner was it ended and dead than it became as lifeless as the piles of dry dust in a school history book.”
—Ellen Glasgow (1874–1945)
“The reverence for the Scriptures is an element of civilization, for thus has the history of the world been preserved, and is preserved.”
—Ralph Waldo Emerson (1803–1882)
“The only thing worse than a liar is a liar that’s also a hypocrite!
There are only two great currents in the history of mankind: the baseness which makes conservatives and the envy which makes revolutionaries.”
—Edmond De Goncourt (1822–1896)