A non-empty set having a distinguished point or "base point". Maps of pointed sets are maps of the underlying sets that preserve the base point. As universal algebras, they are sets equipped with a single nullary operation.
- S. MacLane, "Categories for the working mathematician" Graduate Texts in Mathematics 5, Springer (1971) ISBN 0-387-98403-8
Pointed set. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Pointed_set&oldid=39756