Category:Families of sets

• Family of sets

A

• Abstract simplicial complex
• Ahlswede–Khachatrian theorem
• Almost disjoint sets
• Antimatroid

B

• Block design

C

• Combinatorial design
• Content (measure theory)
• Cover (topology)

D

• Dedekind number
• Delta-ring
• Disjoint sets
• Dynkin system

E

• Erdős–Ko–Rado theorem
• Extremal Problems For Finite Sets

F

• Field of sets
• Finite character
• Finite intersection property
• Fisher's inequality

G

• Generalized quadrangle
• Greedoid
• Growth function

H

• Helly family
• Hypergraph

I

• Incidence structure

K

• Kirkman's schoolgirl problem
• Kruskal–Katona theorem

L

• Laminar set family
• Levi graph
• Locally finite collection
• Lubell–Yamamoto–Meshalkin inequality

M

• Matroid
• Maximum coverage problem
• Monotone class theorem
• Monotone dualization

N

• Near polygon
• Nerve complex
• Noncrossing partition

P

• Partition of a set
• Partition regularity
• Pi-system
• Point-finite collection
• Polar space
• Predictable σ-algebra
• Product σ-algebra
• Property B

R

• Ring of sets

S

• Sauer–Shelah lemma
• Separable σ-algebra
• Set cover problem
• List of set identities and relations
• Sigma-ideal
• Sigma-ring
• Social golfer problem
• Sperner family
• Sperner's theorem
• Steiner system

T

• Teichmüller–Tukey lemma
• Transversal (combinatorics)
• Two-graph

U

• Ultrafilter
• Ultrafilter on a set
• Union-closed sets conjecture
• Universal set
• Universe (mathematics)

Σ

• Σ-algebra
• Σ-Algebra of τ-past