query: open convex cone coincides with the interior of its closure
positive_passages.docid: 25171
positive_passages.text: Why does a convex set have the same interior points as its closure?
negative_passages.docid: 18763
negative_passages.text: injective holomorphic function on a convex set
negative_passages.docid: 114795
negative_passages.text: Closed form for the area of a convex cyclic n-gon, given the set of edge lengths
negative_passages.docid: 47680
negative_passages.text: Prove that the union of the interior of a set and the boundary of the set is the closure of the set
negative_passages.docid: 60887
negative_passages.text: $d_A(x) = \inf_{a \in A} \|x-a\|$ is convex if and only if $A$ is convex
negative_passages.docid: 115376
negative_passages.text: Is $(-\infty,3]\cap(0,1)^c\cap[-1,\infty)$ closed? Open? What are interior points?
negative_passages.docid: 142740
negative_passages.text: If $\varphi \in E'$ and $A$ is convex and open then $\varphi (A)$ is an open interval
negative_passages.docid: 102048
negative_passages.text: Closure of a compact set in Regular space $ X $
negative_passages.docid: 10477
negative_passages.text: Finding the closure of A=$\mathbb Q \cap [0,1]$.
negative_passages.docid: 40438
negative_passages.text: Proving that closed (and open) balls are convex
negative_passages.docid: 150727
negative_passages.text: Characterization convex function.
negative_passages.docid: 37092
negative_passages.text: Homeomorphism between a cone in a compact space and this compactification
negative_passages.docid: 79424
negative_passages.text: Don't understand proof that interior of a set is open
negative_passages.docid: 77217
negative_passages.text: Proof that a coordinate-wise convex function is convex?
negative_passages.docid: 115930
negative_passages.text: Is every convex function on an open interval continuous?
negative_passages.docid: 94231
negative_passages.text: Prove that a non-empty closed convex $S$ has an extreme point iff it does not contain any line
negative_passages.docid: 10531
negative_passages.text: Is the convex hull of a compact set compact?