Some articles on bundle, bundle structure, structure:
Frame Bundle
... The frame bundle of E, denoted by F(E) or FGL(E), is the disjoint union of all the Fx Each point in F(E) is a pair (x, p) where x is a point in X and p is a frame at x ... The frame bundle F(E) can be given a natural topology and bundle structure determined by that of E ... With all of the above data the frame bundle F(E) becomes a principal fiber bundle over X with structure group GLk(R) and local trivializations ({Ui}, {ψi}) ...
... The frame bundle of E, denoted by F(E) or FGL(E), is the disjoint union of all the Fx Each point in F(E) is a pair (x, p) where x is a point in X and p is a frame at x ... The frame bundle F(E) can be given a natural topology and bundle structure determined by that of E ... With all of the above data the frame bundle F(E) becomes a principal fiber bundle over X with structure group GLk(R) and local trivializations ({Ui}, {ψi}) ...
Famous quotes containing the words structure and/or bundle:
“The philosopher believes that the value of his philosophy lies in its totality, in its structure: posterity discovers it in the stones with which he built and with which other structures are subsequently built that are frequently better—and so, in the fact that that structure can be demolished and yet still possess value as material.”
—Friedrich Nietzsche (1844–1900)
“We styled ourselves the Knights of the Umbrella and the Bundle; for, wherever we went ... the umbrella and the bundle went with us; for we wished to be ready to digress at any moment. We made it our home nowhere in particular, but everywhere where our umbrella and bundle were.”
—Henry David Thoreau (1817–1862)