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Summary Of: Power set

the existence of the power set of any set is postulated by the... The elements of the power set of the set... The elements of the power set of the set... The elements of the power set of the set... shows that the power set of a set... informally the power set must be larger than the original set... The power set of a set... is isomorphic to the Boolean algebra of the power set of a finite set... The power set of a set... that the power set considered together with both of these operations forms a commutative... The power set is closely related to the... elements in the power set of a set with... For example the power set of a set with three elements... the power set of the empty set is the set containing the empty set and the power set... and the topology on the power set is referred to as...

Encyclodia Page On: Power set

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Powerset (company) | mathematics | set | 2S | subsets | axiomatic set theory | ZFC | axiom of power set | subset | family of sets | The elements of the power set of the set {x, y, z}  ordered in respect to inclusion. | | ordered | inclusion. | empty set | bit | Cantor's diagonal argument | cardinality | Cantor's theorem | countably infinite | uncountably | natural numbers | one-to-one correspondence | real numbers | cardinality of the continuum | union | intersection | complement | Boolean algebra | Abelian group | symmetric difference | commutative | semigroup | ring | XY | functions | natural number | functions | preimage | bijection | characteristic function | notational motivations | mentioned above | binomial theorem | combination | binomial coefficient | finite set | relative complement | memoized | dynamic programming | combinadics | function space | hyperspace | | Wiktionary | Eric W. Weisstein | MathWorld | Math Is Fun | PlanetMath | Categories | Abstract algebra | Algebra | Basic concepts in set theory |
This article is licensed under the GNU Free Documentation License. It uses material from the Wikipedia article "Power set".