Definition
Given such that
or the (possibly infinite) Cartesian product of the topological spaces, indexed by, the box topology on is generated by the base
The name box comes from the case of Rn, the basis sets look like boxes or unions thereof.
Read more about this topic: Box Topology
Famous quotes containing the word definition:
“The very definition of the real becomes: that of which it is possible to give an equivalent reproduction.... The real is not only what can be reproduced, but that which is always already reproduced. The hyperreal.”
—Jean Baudrillard (b. 1929)
“The physicians say, they are not materialists; but they are:MSpirit is matter reduced to an extreme thinness: O so thin!—But the definition of spiritual should be, that which is its own evidence. What notions do they attach to love! what to religion! One would not willingly pronounce these words in their hearing, and give them the occasion to profane them.”
—Ralph Waldo Emerson (1803–1882)
“One definition of man is “an intelligence served by organs.””
—Ralph Waldo Emerson (1803–1882)