Mathematical logic and foundations Concept
Family of sets
Summary
A family of sets is a collection of sets, often indexed by the elements of an index set.
Where this leads
10 pages build on this one.
Further reading
- Web https://en.wikipedia.org/wiki/Family_of_sets, lead section
About this page
| Tag | 0C21Q694AG |
|---|---|
| URI | m2://0C21Q694AG |
| Aliases | indexed-family-of-sets, collection-of-sets |
| Kind | concept |
| Writing | W1 stated |
| MSC | 03E20 |
| Same as |
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What this page needs for W2
- edge instance_of in: at least two examples (0 of 2)
- edge not_instance_of in: at least one non-example (0 of 1)
- edge specializes both: the more general notions and the special cases (0 of 1)
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What links here
Definitions
Used by
- VC dimension
- Union-closed sets conjecture
- LYM inequality
- Epsilon-net of a set system
- Erdős–Ko–Rado theorem
- Kruskal–Katona theorem
- Sunflower lemma
- Bondy's theorem
- Sauer–Shelah lemma