Is there an uncountable set S, a subset of P(N), such that for any A,B an element of S; the intersection of A and B is finite?
2403
Can a countable set contain uncountably many infinite subsets such that the intersection of any two such distinct subsets is finite?
129205
A question about uncountable, dense sets in R
130981
Co-countable measure on uncountable set
55648
Intersection of finite number of compact sets is compact?
12436
The cardinality of the set of all finite subsets of an infinite set
100977
Infinite subset with pairwise comprime elements
51687
Is the set $ \ (\mathbb{Z}_p \setminus \mathbb{Z}) \cap \mathbb{Q}$ non-empty?
99064
Uncountable set with exactly one limit point
46121
Does the intersection of two finite index subgroups have finite index?
58471
Accumulation points of uncountable sets
19414
Uncountable subset with uncountable complement, without the Axiom of Choice
75019
Infinite Cartesian product of countable sets is uncountable
5215
Can the principle of inclusion/exclusion be used to count elements in the intersection of a sequence of sets?
91485
Finding an uncountable chain of subsets the integers
76826
Are there sets $A$ and $B$ such that $A \in B$ and $B \in A$?
22391
Is the set of all pairs of real numbers uncountable?
44214
The number of subsets of a set of cardinality $n$