Let A be a subset of R with more than one element, let a in A. If A-{a} is compact.
158498
$A\subset \mathbb{R}$ with more than one element and $A/ \{a\}$ is compact for a fixed $a\in A$
20335
If $A\subset B$ then $\bar{A}\subset \bar{B}$
147237
If $A$ and $B$ are compact subsets of $\mathbb R$, then so is $\frac{A}B$.
43068
Let A and B be sets. Show that A is a subset of B if and only if for any set C, one has A union C is a subset of B union C.
127173
Closed subset of compact set is compact
130297
$A$ be a subset of $[0,1]$ with non-empty interior ; then is it true that $\mathbb Q+A=\mathbb R$?
124325
Element of, subset of and empty sets
111538
If $S \subseteq X$ is closed, is $f(S,r)$ necessarily closed?
141318
$\subset$ vs $\subseteq$ when *not* referring to strict inclusion
41080
If A, B, and C are set and $A \subset B ,B \subset C \rightarrow A \subset C$
56728
Question about limit points of a Subset of $\mathbb{R}$
48783
Prove that the sum of two compact sets in $\mathbb R^n$ is compact.
29303
Cartesian product of compact sets is compact
3708
How can I prove that compact subset iff sequentially compact in second countable topological spaces?
59194
Spaces in which "$A \cap K$ is closed for all compact $K$" implies "$A$ is closed."
93771
Prove that for any set $A$ there is some $x \notin A$
65358
Prove $X$ is compact iff for each family $\{ F_\alpha\}_{\alpha\in I}$ of closed subsets of $X$ with the FIP, we have $\cap F_\alpha\neq\varnothing$.