cover
hyperconnection
partition
three
lot
discrete topology
direct product
intersection
family
two
sum
union
block design
join
subset
connection
transversal
basis
overlap
four
for all
injection
one-to-one
product
Cartesian product
polymerous
absolute complement
megacollection
order tree
stabilizer
deductive closure
symmetric difference
exact cover
member
permutation group
axiom of union
cofinite topology
σ-algebra
coset
three-cornered
combinatorial
co-recursively enumerable
strictly
subcollection
eight
cardinality
supertransitive
nine
enumerate
intersect
select
small category
equivalence class
nonempty
sumset
power set
parity
ideal
five
quaternate
quaternary
topology
pair
alternating group
filtration
tell off
subcongenic
metaset
hom-set
non-empty
bicrossproduct
quintuplicate
recursively enumerable
allogroup
aggregate
complement
roster
interlayering
ennead
plural
phratry
rowset
stabilizer subgroup
hypercontinuum
disjoint union
bibundle
multialgebra
hyperstructure
isomorphism
close
multiset

English words for 'A collection (or family) of subsets of a given set, whose union contains every element of said original set.'

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