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 exists from a topological space, the space is disconnected.[1]
See also
List of topologies
References
George F. Simmons (1968). Introduction to Topology and Modern Analysis. McGraw–Hill Book Company. p. 144.
Undergraduate Texts in Mathematics
Graduate Studies in Mathematics
Hellenica World - Scientific Library
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