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Pointed set

From Encyclopedia of Mathematics
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2020 Mathematics Subject Classification: Primary: 03E [MSN][ZBL]

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.

The category of pointed sets has an initial and terminal object (cf. Null object of a category) consisting of a one-element set.

References

  • S. MacLane, "Categories for the working mathematician" Graduate Texts in Mathematics 5, Springer (1971) ISBN 0-387-98403-8
How to Cite This Entry:
Pointed set. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Pointed_set&oldid=34806
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