In mathematics, Fort space, named after M. K. Fort, Jr., is an example in the theory of topological spaces.
Let X be an infinite set of points, of which P is one. Then a Fort space is defined by X together with all subsets A such that:
- A excludes P, or
- A contains all but a finite number of the points of X
X is homeomorphic to the one-point compactification of a discrete space.
Modified Fort space is similar but has two particular points P and Q. So a subset is declared "open" if:
- A excludes P and Q, or
- A contains all but a finite number of the points of X
Fortissimo space is defined as follows. Let X be an uncountable set of points, of which P is one. A subset A is declared "open" if:
- A excludes P, or
- A contains all but a countable set of the points of X
Famous quotes containing the words fort and/or space:
“‘Tis said of love that it sometimes goes, sometimes flies; runs with one, walks gravely with another; turns a third into ice, and sets a fourth in a flame: it wounds one, another it kills: like lightning it begins and ends in the same moment: it makes that fort yield at night which it besieged but in the morning; for there is no force able to resist it.”
—Miguel De Cervantes (1547–1616)
“... the movie woman’s world is designed to remind us that a woman may live in a mansion, an apartment, or a yurt, but it’s all the same thing because what she really lives in is the body of a woman, and that body is allowed to occupy space only according to the dictates of polite society.”
—Jeanine Basinger (b. 1936)