Is the boundary of a connected set connected?
35069
Connectedness of the boundary
16517
Arcwise connected part of $\mathbb R^2$
35751
Is There a Problem with This Professor's Proof Concerning Interior and Boundary Points?
108394
Proof of that every interval is connected
39455
Prove that $(X\times Y)\setminus (A\times B)$ is connected
158189
If $\{E_\alpha\}$ is connected, $\bigcap\limits_{\alpha\in A}E \neq \emptyset$, then $\bigcup\limits_{\alpha\in A}E$ is connected
2575
Showing that $\mathbb{R}$ is connected
63442
Show that if $U$ is an open connected subspace of $\mathbb{R}^2$, then $U$ is path connected
116069
Is every metric space a subspace of some connected metric space?
133938
Connectedness of the Hausdorff distance.
27253
Path connectedness of the set $\{(x,y):(x+1)^{2}+y^{2}\leq 1\}\cup\{(x,y):y=x\sin(\frac{1}{x}),x>0\}$
68234
Is $[0,1) \cup \{2\}$ a manifold with boundary? My issue is the $2$.
84791
Is every connected metric space with at least two points uncountable?
147961
Characterizing simply connected spaces
42811
Product of path connected spaces is path connected
31980
Is the boundary of a boundary a subset of the boundary?
50645
Is the following set (path) connected?