Nonempty Set

A nonempty set is a set containing one or more elements. Any set other than the empty set emptyset is therefore a nonempty set. Nonempty sets are sometimes also called nonvoid sets (Grätzer 1971, p. 6). A nonempty set containing a single element is called a singleton set.

See also

Empty Set, Set, Singleton Set

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Grätzer, G. Lattice Theory: First Concepts and Distributive Lattices. San Francisco, CA: W. H. Freeman, 1971.

Referenced on Wolfram|Alpha

Nonempty Set

Cite this as:

Weisstein, Eric W. "Nonempty Set." From MathWorld--A Wolfram Web Resource.

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