In mathematics, the universal bundle in the theory of fiber bundles with structure group a given topological group G, is a specific bundle over a classifying space BG, such that every bundle with the given structure group G over M is a pullback by means of a continuous map
- M → BG.
Read more about Universal Bundle: Use in The Study of Group Actions, Examples
Famous quotes containing the words universal and/or bundle:
“I have been maintaining that the meaning of the word ‘ought’ and other moral words is such that a person who uses them commits himself thereby to a universal rule. This is the thesis of universalizability.”
—Richard M. Hare (b. 1919)
““There is Lowell, who’s striving Parnassus to climb
With a whole bale of isms tied together with rhyme,
He might get on alone, spite of brambles and boulders,
But he can’t with that bundle he has on his shoulders,
The top of the hill he will ne’er come nigh reaching
Till he learns the distinction ‘twixt singing and preaching;”
—James Russell Lowell (1819–1891)