Discrete 2-point space

Discrete two-point space

In topology, a branch of mathematics, a discrete two-point space is the simplest example of a totally disconnected discrete space. The points can be denoted by the symbols 0 and 1.

Any disconnected space has a continuous mapping onto the discrete two-point space. Conversely if a continuous mapping to the discrete two-point space exosts from a topological space, the space is disconnected.

References

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