New posts in Connectedness

Points in the boundary of a compact set $K\subset\mathbb{R}^2$ reachable by a path in $K^c$

Does a connected countable metric space exist?

Proof of "the continuous image of a connected set is connected"

Is the complement of countably many disjoint closed disks path connected?

Topology on $\mathbb{R}$ strictly coarser (resp. finer) than the usual one which is still Hausdorff (resp. connected)

Give an example of a topological space $X$, and a connected component which is not open in $X$

Prove that each component of $X$ is a closed subset of $X$.

Prove that the graph is connected

The image of a path-connected set under a continuous map is path-connected

connected manifolds are path connected