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:
“Exporting Church employees to Latin America masks a universal and unconscious fear of a new Church. North and South American authorities, differently motivated but equally fearful, become accomplices in maintaining a clerical and irrelevant Church. Sacralizing employees and property, this Church becomes progressively more blind to the possibilities of sacralizing person and community.”
—Ivan Illich (b. 1926)
“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)