Discrete two-point space explained

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.

Properties

Any disconnected space has a continuous mapping which is not constant onto the discrete two-point space. Conversely if a nonconstant continuous mapping to the discrete two-point space exists from a topological space, the space is disconnected.^[1]

See also

• List of topologies

Notes and References

1. Book: Introduction to Topology and Modern Analysis. George F. Simmons. George F. Simmons. McGraw–Hill Book Company. 1968. 144.