query: If $A$ is closed in $\mathbb{R}^{n}$, is it true that $f(A)$ is closed as well?
positive_passages.docid: 153495
positive_passages.text: Continuous function does not map closed set to closed set
negative_passages.docid: 136872
negative_passages.text: Why uniform closure $\mathscr{B}$ of an algebra $\mathscr{A}$ of bounded complex functions is uniformly closed?
negative_passages.docid: 158155
negative_passages.text: Is set of isolated points of S closed?
negative_passages.docid: 58948
negative_passages.text: If $A$ is compact, is then $f(A)$ compact?
negative_passages.docid: 9320
negative_passages.text: Extension of continuous function on a closed subset of $\mathbb{R}$
negative_passages.docid: 148994
negative_passages.text: $K \subset \mathbb{R}^n$ is compact iff it is closed and bounded
negative_passages.docid: 56728
negative_passages.text: Question about limit points of a Subset of $\mathbb{R}$
negative_passages.docid: 84512
negative_passages.text: The preimage of continuous function on a closed set is closed.
negative_passages.docid: 22854
negative_passages.text: Let $A , B\subseteq\mathbb{R}$. If $A$ is closed and $B$ is compact, is $A\cdot B$ closed?
negative_passages.docid: 83798
negative_passages.text: Does $A$ a UFD imply that  $A[T]$ is also a UFD?
negative_passages.docid: 58597
negative_passages.text: A characterization of functions from $\mathbb R^n$ to $\mathbb R^m$ which are continuous
negative_passages.docid: 106957
negative_passages.text: Compact sets are closed?
negative_passages.docid: 73927
negative_passages.text: Is $\mathbb{R}$ a subset of $\mathbb{R}^2$?
negative_passages.docid: 50846
negative_passages.text: Is a set without limit points necessarily closed?
negative_passages.docid: 92089
negative_passages.text: If $f:[a,b]\to \mathbb{R}$ is continuous and nonnegative and $\int_a^b{f}=0$, then $f(x)=0$ for all $x\in [a,b]$
negative_passages.docid: 125962
negative_passages.text: The set $A'$ is closed in a $T_1$ space
negative_passages.docid: 56171
negative_passages.text: Is $K(X)$ never algebraically closed?