Prob. 21, Sec. 17 in Munkres' TOPOLOGY, 2nd ed: Closure and complementation can result in at most 14 different sets
105886
A question on the proof of 14 distinct sets can be formed by complementation and closure
153305
Adding subsets of regular cardinals (Jech p. 226)
99341
Basic question: closure of irreducible sets
100437
Classification of connected subsets of the real line (up to homeomorphism)
49374
Closure of a subset in a metric space
137621
The Number of Topologies on a Finite Set
21176
Closure of the set in dictionary order topology.
158155
Is set of isolated points of S closed?
136108
Arbitrary intersection of closed, connected subsets of a compact space connected?
127678
A partition of the unit interval into uncountably many dense uncountable subsets
144731
Disjoint closed sets in a second countable zero-dimensional space can be separated by a clopen set
99236
Interior of closure of an open set
43504
Proving the existence of a complement subspace $U' \subset V$.
33117
Cyclic containment of sets
37654
Topology: Example of a compact set but its closure not compact
12490
A map is continuous if and only if for every set, the image of closure is contained in the closure of image
10127
Example of a sequence of closed and connected sets whose intersection is disconnected