connection
hyperconnection
partition
non-empty
topology
nonempty
sum
union
join
disjoint set
symmetric difference
absolute complement
cover
mathematical group
group
null set
superset
intersection
convex set
π-system
transversal
cofinite topology
σ-algebra
trivial topology
algebra
family
power set
axiom of union
metaset
singleton
recursively enumerable
direct product
basis
equivalence class
Alexandrov topology
intersect
complement
lot
three
disjoint
transitive
quintuplicate
two
subset
interlayering
parity
five
co-recursively enumerable
overlap
Dedekind cut
stabilizer
multibracket
quotient set
for all
injection
interior
counion
boundary
cardinality
discrete topology
Cartesian product
empty set
derangement
four
product
ten
normal space
neighborhood
proper subset
stabilizer subgroup
roster
select
pseudointersection
order tree
ball
primitive element
combinatorial
setlessness
axiom of regularity
member
ideal
domain
alternating group
uncountable set
Venn diagram
fixed set
one-to-one
every other
one-to-many
atom
eight

English words for 'A set of sets that contains the empty set, all one-element sets for any element that is included in any of the sets, and the union of any group of sets that are elements where the intersections of those sets is non-empty.'

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