Normality

- Mathematics & Logic -
Pure Mathematics Dictionary
Definition
A separation axiom: a topological space X is normal if any two disjoint closed subsets of X have disjoint open neighborhoods.

Normality

- Pure Mathematics -
Algebra Dictionary
Definition
For a domain R, normality means R is integrally closed in its field of fractions; for a scheme, normal means all local rings are integrally closed domains.