Can a set of positive measure and its complement both have empty interior?
38581
Construct a Borel set on R such that it intersect every open interval with non-zero non-"full" measure
82825
Proving set of interiors is open
74860
Why is the empty set a subset of every set?
125161
Why is the Cartesian product of $A$ and $\varnothing$ empty?
37206
$\mathbb{R}^n\times\{0\}$ has measure zero in $\mathbb{R}^{n+1}$
52301
Omitting the hypotheses of finiteness of the measure in Egorov theorem
120599
Points of a Measure Zero Sets Covered by Intervals Infinitely Many Times
74720
Is every set of measure zero countable?
90540
What is wrong in this proof: That $\mathbb{R}$ has measure zero
858
Is $\{\emptyset\}$ a subset of $\{\{\emptyset\}\}$?
25171
Why does a convex set have the same interior points as its closure?
104744
Can sets of cardinality $\aleph_1$ have nonzero measure?
65768
What is the cardinality of the set of the empty set?
69273
Is there a compact subset of the irrationals with positive Lebesgue measure?
110677
How is an empty set truly "empty"?
68977
Interior of cartesian product is cartesian product of interiors
58285
Is it true that if $X$ is connected, then for every nonempty proper subset $A$ of $X$, we have $\mathbf{Bd} \ne \emptyset$