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:
“Who says that fictions only and false hair
Become a verse? Is there in truth no beauty?
Is all good structure in a winding stair?
May no lines pass, except they do their duty
Not to a true, but painted chair?”
—George Herbert (1593–1633)
“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)