Sets With Greater Cardinality
Sets with cardinality greater than include:
- the set of all subsets of (i.e., power set )
- the set 2R of indicator functions defined on subsets of the reals (the set is isomorphic to – the indicator function chooses elements of each subset to include)
- the set of all functions from to
- the Lebesgue σ-algebra of, i.e., the set of all Lebesgue measurable sets in .
- the Stone–Čech compactifications of, and
- the set of all automorphisms of the field of complex numbers.
They all have cardinality (Beth two).
Read more about this topic: Cardinality Of The Continuum
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