Dyadic discontinuum
From Encyclopedia of Mathematics - Reading time: 1 min
The topological product of simple colons, discrete spaces consisting of two points.
Comments[edit]
Such products are also called Cantor cubes; they topologically contain every zero-dimensional space. Also, every compact space is the continuous image of a closed subspace of a Cantor cube.
The terminology is slightly ambiguous: a dyadic space is a continuous image of a Cantor cube, so that "dyadic discontinuum" could also mean "totally-disconnected dyadic space" (cf. Totally-disconnected space).
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