Trivial Topology

Also called indiscrete topology, the trivial topology is the smallest topology on a set X, namely the one in which the only open sets are the empty set and the entire set X. These are also the only closed sets.

See also

Discrete Topology, Trivial

This entry contributed by Margherita Barile

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Cite this as:

Barile, Margherita. "Trivial Topology." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein.

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