Connected subsets of $\mathbb{R^3}$
73690
If $\mathbb R^3\setminus V$ connected where $V$ is the subspace generated by $\{(1,1,1),(0,1,1)\} $
115695
If $X$ is a connected subset of a connected space $M$ then the complement of a component of $M \setminus X$ is connected
37953
Primary Decomposition of $\mathbb{R^n}$ under T
108807
Subset of a cartesian product
104411
sum of two connected subset of $\mathbb{R}$
73927
Is $\mathbb{R}$ a subset of $\mathbb{R}^2$?
60424
Uncountable family of uncountable compact subsets of $\mathbb{R}$
42811
Product of path connected spaces is path connected
18334
Equivalence between CH and existence of certain sets in $\mathbb{R}^2$
23225
Union of connected subsets is connected if intersection is nonempty
44673
$M$ connected $\iff$ $M$ and $\emptyset$ are the only subsets of $M$ open and closed at the same time
2198
Maps from subsets of $\mathbb{R}^2$ that are either open/closed/continuous
4602
Outline of a proof that $\mathbb{R}^2 - A$ where A is countable is path-connected
36044
Show $\Bbb R ^n$ with a finite set removed is still connected.
18572
Union of a family of connected pairwise not disjoint subspaces is connected
157218
If $E\subseteq X$ is connected, $E\cap A\neq\emptyset$ and $E\cap(X\setminus A)\neq\emptyset$ then $E\cap\partial A\neq\emptyset$
41047
Subspace Topology of a subset