Connecting two points on the boundary of an open, connected and bounded set $Q\subset \mathbb{R}^2$ with a path $\gamma\subset \overline{Q}$
72556
Is the closure of path-connected set path connected?
12104
How to prove this result involving the quotient maps and connectedness?
80524
Path-connected and locally connected space that is not locally path-connected
101712
Let $X$ be obtained by removing finitely many lines from $\mathbb{R}^3$. How do I prove $X$ is connected?
156520
Intervals are connected and the only connected sets in $\mathbb{R}$
55486
Topological proof to show a complement set of a set is polygonally connected
4602
Outline of a proof that $\mathbb{R}^2 - A$ where A is countable is path-connected
133633
A question about path-connected and arcwise-connected spaces
93986
Connectivity, Path Connectivity and Differentiability
44704
familly of Radially open sets in $\mathbb{R}^2$
16517
Arcwise connected part of $\mathbb R^2$
143735
Prove/Disprove: For any sets $X$ and $Y$, $\overline{X\cap Y} = \bar{X}\cup\bar{Y}$
99236
Interior of closure of an open set
152442
An annulus in $\mathbb R^2$ is path connected
152193
The intersection of a closure with an open set
104769
Any two points in a Stone space can be disconnected by clopen sets
53132
A convex subset of a set has 'smaller' boundary than the set?