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# closure

### Topology

The closure of a given set in a topological space is the smallest closed set containing the given set.

### Abstract Algebra

If $$F$$ is a field, the algebraic closure of $$F$$ is a field $$G$$ containing $$F$$ such that every polynomial with coefficients in $$F$$ has a root in $$G$$.

Citation Info

• [MLA] “closure.” Platonic Realms Interactive Mathematics Encyclopedia. Platonic Realms, 25 Mar 2013. Web. 25 Mar 2013. <http://platonicrealms.com/>
• [APA] closure (25 Mar 2013). Retrieved 25 Mar 2013 from the Platonic Realms Interactive Mathematics Encyclopedia: http://platonicrealms.com/encyclopedia/closure/