Bundle Map - Bundle Maps Over A Common Base

Bundle Maps Over A Common Base

Let πE:EM and πF:FM be fiber bundles over a space M. Then a bundle map from E to F over M is a continuous map φ:EF such that . That is, the diagram

should commute. Equivalently, for any point x in M, φ maps the fiber Ex = πE−1({x}) of E over x to the fiber Fx = πF−1({x}) of F over x.

Read more about this topic:  Bundle Map

Famous quotes containing the words bundle, maps, common and/or base:

    In the quilts I had found good objects—hospitable, warm, with soft edges yet resistant, with boundaries yet suggesting a continuous safe expanse, a field that could be bundled, a bundle that could be unfurled, portable equipment, light, washable, long-lasting, colorful, versatile, functional and ornamental, private and universal, mine and thine.
    Radka Donnell-Vogt, U.S. quiltmaker. As quoted in Lives and Works, by Lynn F. Miller and Sally S. Swenson (1981)

    And at least you know

    That maps are of time, not place, so far as the army
    Happens to be concerned—the reason being,
    Is one which need not delay us.
    Henry Reed (1914–1986)

    As to what we call the masses, and common men;Mthere are no common men. All men are at last of a size; and true art is only possible, on the conviction that every talent has its apotheosis somewhere. Fair play, and an open field, and freshest laurels to all who have won them!
    Ralph Waldo Emerson (1803–1882)

    Were I as base as is the lowly plain,
    And you, my Love, as high as heaven above,
    Yet should the thoughts of me, your humble swain,
    Ascend to heaven in honour of my love.
    Joshua Sylvester (1561–1618)