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 am an invisible man.... I am a man of substance, of flesh and bone, fiber and liquids—and I might even be said to possess a mind. I am invisible, understand, simply because people refuse to see me.”
—Ralph Ellison (b. 1914)
“... the movie woman’s world is designed to remind us that a woman may live in a mansion, an apartment, or a yurt, but it’s all the same thing because what she really lives in is the body of a woman, and that body is allowed to occupy space only according to the dictates of polite society.”
—Jeanine Basinger (b. 1936)