New posts in connectedness

Path connectedness of the set $\{(x,y):(x+1)^{2}+y^{2}\leq 1\}\cup\{(x,y):y=x\sin(\frac{1}{x}),x>0\}$

Path Connectedness and continuous bijections

Properties of space $X = T \cup \bigcup_{n=1}^{\infty} S_n \cup \{ (0,q) : q \in \mathbb Q \wedge q \in [0,1] \} $

Homotopy equivalence induces bijection between path components

Any ball is connected?

A zero-dimensional Hausdorff space is totally disconnected

Degree sequence of connected graphs

Proof that $U(n)$ is connected

Are matrices which yield a given characteristic polynomial and have specified structure connected?

Is $\mathbb{Q} \times \mathbb{Q} \cup \mathbb{I} \times \mathbb{I}$ disconnected?

Connected open subsets in $\mathbb{R}^2$ are path connected.

Connected subsets of set

Weakly Connected Graphs

Is every metric space a subspace of some connected metric space?

How to prove this result involving the quotient maps and connectedness?

40 Vertices And A Connected Graph, Minimum Number Of Edges?

Image of a connected space under a continuous map is connected, proof

The fiber of a covering space over a connected space has constant cardinality [duplicate]

Connected and locally path connected

Is It Always Possible to Cross a Surface Exactly Once?