the set of all subsets of ${\displaystyle \mathbb {R} }$ (i.e., power set ${\displaystyle {\mathcal {P}}(\mathbb {R} )}$)

the set of indicator functions defined on subsets of the reals (the set ${\displaystyle 2^{\mathbb {R} }}$ is isomorphic to ${\displaystyle {\mathcal {P}}(\mathbb {R} )}$ – the indicator function chooses elements of each subset to include)

2^R

the set ${\displaystyle \mathbb {R} ^{\mathbb {R} }}$ of all functions from ${\displaystyle \mathbb {R} }$ to ${\displaystyle \mathbb {R} }$

the of ${\displaystyle \mathbb {R} }$, i.e., the set of all Lebesgue measurable sets in ${\displaystyle \mathbb {R} }$.

Lebesgue σ-algebra

the set of all functions from ${\displaystyle \mathbb {R} }$ to ${\displaystyle \mathbb {R} }$

Lebesgue-integrable

the set of all functions from ${\displaystyle \mathbb {R} }$ to ${\displaystyle \mathbb {R} }$

Lebesgue-measurable

the of ${\displaystyle \mathbb {N} }$, ${\displaystyle \mathbb {Q} }$, and ${\displaystyle \mathbb {R} }$

Stone–Čech compactifications

the set of all automorphisms of the (discrete) field of complex numbers.

Cardinal characteristic of the continuum

Naive set theory. Princeton, NJ: D. Van Nostrand Company, 1960. Reprinted by Springer-Verlag, New York, 1974. ISBN 0-387-90092-6 (Springer-Verlag edition).

Paul Halmos

2003. Set Theory: The Third Millennium Edition, Revised and Expanded. Springer. ISBN 3-540-44085-2.

Jech, Thomas

1980. Set Theory: An Introduction to Independence Proofs. Elsevier. ISBN 0-444-86839-9.

Kunen, Kenneth