Is preimage of closure equal to closure of preimage under continuous topological maps?
122086
continuous function: preimage of closure of a set is closure of preimage
15095
continuous onto map from $(0,1)\to (0,1]$
81933
Topological spaces in which a set is the support of a continuous function iff it is the closure of a open set.
29154
$f$ is continuous and open implies $f$ injective
42913
Equivalence of the definition of the Subbasis of a Topology
29582
Continuous mapping $f: [0,1]\rightarrow (0,1)$ CSIR December $2013$
2056
A space is $T_{0}$ if and only if the closures of singletons are distinct
65472
From injective map to continuous map
81423
Completeness and Topological Equivalence
141642
Closure of a certain subset in a compact topological group
153256
Compact topological space with closed graph implies continuity
134104
Is there a Cantor-Schroder-Bernstein statement about surjective maps?
69367
covering map with finite fibres and preimage of a compact set
77621
Continuity of function mapping connected set to connected set
35868
Elementary properties of closure
63717
Is the closure of a set equal to the closure of the closure of that set?
128069
Continuity in Slices + Mapping Compact Sets to Compact Sets = Continuous