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

# Trivial Topology

## 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. https://mathworld.wolfram.com/TrivialTopology.html