List of types of sets
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
Relative to measurability
Relative to a measure
In a linear space
Relative to the real/complex numbers
Ways of defining sets/Relation to descriptive set theory
More general objects still called sets
See also
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