View source for Fibre

{{stub page|grade=A|msg=Could use another reference. I know {{link|An Introduction to Algebraic Topology - Joseph J. Rotman|ns=Books}} defines this term!}}
==Definition==
Let {{M|f:X\rightarrow Y}} be a [[function]], then{{rITTMJML}}:
* A ''fibre'' of {{M|f}} is any set of the form {{M|f^{-1}(\{y\})}} for some {{M|y\in Y}}
==See also==
* [[Level set]] - a similar concept, rarely used in the same context as a fibre however
* {{link|Saturated|map}} - generalisation of fibre. {{M|U\in\mathcal{P}(X)}} is ''saturated with respect to {{M|f}}'' if there is a subset, {{M|V\in\mathcal{P}(Y)}} such that {{M|1=U=f^{-1}(V)}}
==References==
<references/>
{{Function terminology navbox|plain}}
{{Definition|Set Theory|Elementary Set Theory}}