FIBRATION

Fibration

In topology, a branch of mathematics, a fibration is a generalization of the notion of a fiber bundle. A fiber bundle makes precise the idea of one topological space being "parameterized" by another topological space . A fibration is like a fiber bundle, except that the fibers need not be the same space, rather they are just homotopy equivalent. Fibrations do not necessarily have the local Cartesian product structure that defines the more restricted fiber bundle case, but something weaker that still allows "sideways" movement from fiber to fiber. Fiber bundles have a particularly simple homotopy theory that allows topological information about ...

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fibration

Noun

  1. a continuous mapping satisfying the homotopy lifting property with respect to any space.


The above text is a snippet from Wiktionary: fibration
and as such is available under the Creative Commons Attribution/Share-Alike License.

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