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 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
References
- George F. Simmons (1968). Introduction to Topology and Modern Analysis. McGraw–Hill Book Company. p. 144.
This article is issued from Wikipedia. The text is licensed under Creative Commons - Attribution - Sharealike. Additional terms may apply for the media files.