Power set: Difference between revisions
Jump to navigation
Jump to search
imported>Richard Pinch (mention order) |
mNo edit summary |
||
| (One intermediate revision by one other user not shown) | |||
| Line 1: | Line 1: | ||
{{subpages}} | {{subpages}} | ||
{{dambigbox||Power}} | |||
In [[set theory]], the '''power set''' of a set ''X'' is the set of all [[subset]]s of ''X''. | In [[set theory]], the '''power set''' of a set ''X'' is the set of all [[subset]]s of ''X''. | ||
:<math> \mathcal{P}X = \{ A : A \subseteq X \} . \, </math> | :<math> \mathcal{P}X = \{ A : A \subseteq X \} . \, </math> | ||
The power set is [[order (relation)|ordered]] by [[inclusion (set theory)|inclusion]], making it a [[lattice (order)|lattice]]. | The power set is [[order (relation)|ordered]] by [[inclusion (set theory)|inclusion]], making it a [[lattice (order)|lattice]].[[Category:Suggestion Bot Tag]] | ||
Latest revision as of 11:01, 6 October 2024
This article is about Power set. For other uses of the term Power, please see Power (disambiguation).
In set theory, the power set of a set X is the set of all subsets of X.
