In topology and related branches of mathematics, a normal space is a topological space X that satisfies Axiom T4: every two disjoint closed sets of X have disjoint open neighborhoods. A normal Hausdorff space is also called a T4 space. These conditions are examples of separation axioms and their further strengthenings define completely normal Hausdorff spaces, or T5 spaces, and perfectly normal Hausdorff spaces, or T6 spaces.
Read more about Normal Space: Definitions, Examples of Normal Spaces, Examples of Non-normal Spaces, Properties, Relationships To Other Separation Axioms
Famous quotes containing the words normal and/or space:
“Our normal waking consciousness, rational consciousness as we call it, is but one special type of consciousness, whilst all about it, parted from it by the filmiest of screens, there lie potential forms of consciousness entirely different.”
—William James (1842–1910)
“I take SPACE to be the central fact to man born in America.... I spell it large because it comes large here. Large and without mercy.”
—Charles Olson (1910–1970)