Fiber (mathematics)

From Wikinfo

In mathematics, the fiber of a point y under a function f�:�X�?�Y is the inverse image of y under f, that is, f^?1(y).

In a variant phrase, this is also called the fiber of f at y.

In various applications, this is also called:

1. The level set of y under f.
2. The level set of f at y.

In the same contexts, the spelling fibre is also seen.

See also

Fibration Fiber bundle Fiber product

Image (category theory) Image (mathematics) Inverse relation

Level set Preimage attack Relation

External links

• Adapted from the Wikipedia article, "Fiber (mathematics)" http://en.wikipedia.org/wiki/Fiber_(mathematics), used under the GNU Free Documentation License.