List of types of sets
From HandWiki
Short description: none
Sets can be classified according to the properties they have.
Relative to set theory
Relative to a topology
- Closed set
- Open set
- Clopen set
- Fσ set
- Gδ set
- Compact set
- Relatively compact set
- Regular open set, regular closed set
- Connected set
- Perfect set
- Meagre set
- Nowhere dense set
Relative to a metric
- Bounded set
- Totally bounded set
Relative to measurability
- Borel set
- Baire set
- Measurable set, Non-measurable set
- Universally measurable set
Relative to a measure
In a linear space
Relative to the real/complex numbers
- Fractal set
Ways of defining sets/Relation to descriptive set theory
- Recursive set
- Recursively enumerable set
- Arithmetical set
- Diophantine set
- Hyperarithmetical set
- Analytical set
- Analytic set, Coanalytic set
- Suslin set
- Projective set
- Inhabited set
More general objects still called sets
icarus set
See also
- List of set identities and relations – Equalities for combinations of sets
- List of types of functions – List of functions in mathematics
Original source: https://en.wikipedia.org/wiki/List of types of sets.
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