A Seifert fiber space is a 3-manifold together with a "nice" decomposition as a disjoint union of circles. In other words it is a -bundle (circle bundle) over a 2-dimensional orbifold. Most "small" 3-manifolds are Seifert fiber spaces, and they account for all compact oriented manifolds in 6 of the 8 Thurston geometries of the geometrization conjecture.
Read more about Seifert Fiber Space: Definition, Classification, Fundamental Group, Positive Orbifold Euler Characteristic, Zero Orbifold Euler Characteristic, Negative Orbifold Euler Characteristic
Famous quotes containing the words fiber and/or space:
“I taught school in the early days of my manhood and I think I know something about mothers. There is a thread of aspiration that runs strong in them. It is the fiber that has formed the most unselfish creatures who inhabit this earth. They want three things only; for their children to be fed, to be healthy, and to make the most of themselves.”
—Lyndon Baines Johnson (1908–1973)
“The merit of those who fill a space in the world’s history, who are borne forward, as it were, by the weight of thousands whom they lead, shed a perfume less sweet than do the sacrifices of private virtue.”
—Ralph Waldo Emerson (1803–1882)