Definition:Choice Set
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Definition
Let $\SS$ be a set of non-empty pairwise disjoint sets.
A choice set of $\SS$ is a set $C$ which contains exactly one element from each $T \in \SS$.
Also known as
A choice set is also known as a transversal.
Sources
- 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): choice (axiom of)
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): choice, axiom of
- Bell, John L., "The Axiom of Choice", The Stanford Encyclopedia of Philosophy (Winter 2021 Edition), Edward N. Zalta (ed.), URL = <https://plato.stanford.edu/archives/win2021/entries/axiom-choice/>.