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
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“No man, not even a doctor, ever gives any other definition of what a nurse should be than this—”devoted and obedient.” This definition would do just as well for a porter. It might even do for a horse. It would not do for a policeman.”
—Florence Nightingale (1820–1910)
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“I’m beginning to think that the proper definition of “Man” is “an animal that writes letters.””
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