Power set: Difference between revisions

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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.

{\mathcal {P}}X=\{A:A\subseteq X\}.\,

The power set is ordered by inclusion, making it a lattice.

Revision as of 13:28, 14 March 2021 (view source) imported>Pat Palmer mNo edit summary ← Older edit		Latest revision as of 11:01, 6 October 2024 (view source) Suggestion Bot (talk \| contribs) mNo edit summary
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	:<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]]