Seifert Fiber Space

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)

    For good teaching rests neither in accumulating a shelfful of knowledge nor in developing a repertoire of skills. In the end, good teaching lies in a willingness to attend and care for what happens in our students, ourselves, and the space between us. Good teaching is a certain kind of stance, I think. It is a stance of receptivity, of attunement, of listening.
    Laurent A. Daloz (20th century)