Fibre
From Maths
Stub grade: A
This page is a stub
This page is a stub, so it contains little or minimal information and is on a todo list for being expanded.The message provided is:
Could use another reference. I know An Introduction to Algebraic Topology  Joseph J. Rotman defines this term!
Definition
Let [ilmath]f:X\rightarrow Y[/ilmath] be a function, then^{[1]}:
 A fibre of [ilmath]f[/ilmath] is any set of the form [ilmath]f^{1}(\{y\})[/ilmath] for some [ilmath]y\in Y[/ilmath]
See also
 Level set  a similar concept, rarely used in the same context as a fibre however
 Saturated  generalisation of fibre. [ilmath]U\in\mathcal{P}(X)[/ilmath] is saturated with respect to [ilmath]f[/ilmath] if there is a subset, [ilmath]V\in\mathcal{P}(Y)[/ilmath] such that [ilmath]U=f^{1}(V)[/ilmath]
References
