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.
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.{{cite book|title=Introduction to Topology and Modern Analysis|author=George F. Simmons|author-link=George F. Simmons|publisher=McGraw–Hill Book Company|date=1968|page=144}}
See also
References
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