PlanetMath: saturated (set)

(more info)

Math for the people, by the people.

Main Menu

sections Encyclopædia
Papers
Books
Expositions

meta Requests (204)
Orphanage
Unclass'd
Unproven (490)
Corrections (6)
Classification

talkback Polls
Forums
Feedback
Bug Reports

downloads Snapshots
PM Book

information News
Docs
Wiki
ChangeLog
TODO List
Legalese
About

Entry average rating: No information on entry rating

saturated (set)

(Definition)

If $p: X \longrightarrow Y$ is a surjective map, we say that a subset $C \subseteq X$ is saturated (with respect to p) if contains every set $p^{-1}(\{y\})$ it intersects. Equivalently, is saturated if it is a union of fibres.

"saturated (set)" is owned by drini. [ owner history (2) ]

(view preamble)

Other names:

saturated

Log in to rate this entry.
(view current ratings)

Cross-references: fibres, union, intersects, contains, subset, map, surjective

This is version 2 of saturated (set), born on 2002-08-07, modified 2002-08-08.
Object id is 3275, canonical name is SaturatedSet.
Accessed 3325 times total.

Classification:

AMS MSC:

03E99 (Mathematical logic and foundations :: Set theory :: Miscellaneous)

Pending Errata and Addenda

None.

Discussion

forum policy

No messages.

Interact