If $A \subset \mathbb{R}^n$ is a open and convex set then $A= int( \overline{A})$
15645
Is convex open set in $\mathbb{R}^n$ is regular?
144246
Subset of $\mathbb{R}^n$ homeomorphic to $\mathbb{R}^n$
106843
Give an example where $\int_{\bar A} f$ exists but $\int_A f$ does not for a continuos $f$ on a bounded open subset $A$ of $\mathbb{R}^n $
143735
Prove/Disprove: For any sets $X$ and $Y$, $\overline{X\cap Y} = \bar{X}\cup\bar{Y}$
64861
Intersection of open affines can be covered by open sets distinguished in *both*affines
93771
Prove that for any set $A$ there is some $x \notin A$
44430
Is there an open dense set $S \subset [0,1]$ such that $m(S)<1$?
148994
$K \subset \mathbb{R}^n$ is compact iff it is closed and bounded
149317
An open subset of $\mathbb{R}$ is an at-most-countable union of disjoint open intervals
18763
injective holomorphic function on a convex set
106718
Prove if C is midpoint convex and closed then its a convex set
69650
In $\mathbb{R}^n$, locally lipschitz on compact set implies lipschitz
15491
Prove that $f:\mathbb R^n\to\mathbb R$ is affine if and only if it is convex and concave
101669
Cardinality of the Set of all finite subset of $\mathbb{R}$
127900
Interior of closure of open set in topological space
114139
Convex Hull of Precompact Subset is Precompact
110845
Convex Set with Empty Interior Lies in an Affine Set