| Power Set |
Article Index for Power |
Website Links For Power |
Information AboutPower Set |
| CATEGORIES ABOUT POWER SET | |
| abstract algebra | |
| algebra | |
| basic concepts in set theory | |
|
In Mathematics , given a Set ''S'', the power set (or '''powerset''') of ''S'', written , ''P''(''S''), or 2''S'' , is the set of all Subset s of ''S''. In Axiomatic Set Theory (as developed e.g. in the ZFC axioms), the existence of the power set of any set is postulated by the Axiom Of Power Set . Any Subset ''F'' of is called a '' Family Of Sets '' over ''S''. in respect to Inclusion. ]] AN EXAMPLE If ''S'' is the set {''x'', ''y'', ''z''}, then the complete list of subsets of ''S'' is as follows:
and hence the power set of ''S'' is : PROPERTIES |
|
|