Difference between revisions of "Saturated set with respect to a function"
From Maths
(Created page with "{{Stub page|grade=A|msg=Needed for some open map work, flesh out, find another reference, demote as needed}} __TOC__ ==Definition== Let {{M|X}} and {{M|Y}} are sets and le...") |
(No difference)
|
Latest revision as of 13:08, 16 October 2016
Stub grade: A
This page is a stub
This page is a stub, so it contains little or minimal information and is on a to-do list for being expanded.The message provided is:
Needed for some open map work, flesh out, find another reference, demote as needed
Contents
[hide]Definition
Let X and Y are sets and let f:X→Y be any function between them. A subset of X, U∈P(X), is said to be saturated with respect to f if[1]:
- ∃V∈P(Y)[U=f−1(V)], in words:
- There exists a subset of Y, V, such that V is exactly the pre-image of U under f
See next
See also
- Fibre - this (saturated set) is a generalisation of a fibre.
