New posts in connectedness

Is every connected subset of the Sierpiński triangle arcwise connected?

general-topology metric-spaces connectedness

Product of path connected spaces is path connected

general-topology connectedness product-space

Let $X=\{a,b,c,d\}$. Find the connected component $C(a)=\bigcup \{A \mid a \in A , A \subset X, \text{$A$ connected}\}$.

general-topology connectedness

Every point in topology space belongs to exactly one connected component.

real-analysis general-topology connectedness

Is connected component of sublevel set of continuous function always path connected?

general-topology analysis connectedness path-connected

Prove that $E$ is disconnected iff there exists two open disjoint sets $A$,$B$ in $X$

general-topology metric-spaces connectedness

Topology of matrices

general-topology matrices compactness connectedness

Is there a way to phrase "continuous" in terms of "connected"?

general-topology continuity education connectedness

Connected topological space such that the removal of any of its points disconnects it into exactly $3$ connected components?

general-topology examples-counterexamples connectedness

Quasicomponents and components in compact Hausdorff space

general-topology compactness connectedness

Connectedness of points with both rational or irrational coordinates in the plane?

general-topology connectedness

Showing that $\mathbb{R}$ is connected [duplicate]

general-topology connectedness

If $C$ is a component of $Y$ and a component of $Z$, is it a component of $Y\cup Z$?

general-topology connectedness

Could *I* have come up with the definition of Compactness (and Connectedness)?

general-topology soft-question compactness connectedness motivation

Can a countable dense subset be split into two disjoint dense subsets?

general-topology compactness connectedness separable-spaces continuum-theory

Is bijection mapping connected sets to connected homeomorphism?

general-topology connectedness

Why is self-intersection not allowed with continuous transformations?

real-analysis general-topology connectedness

Removal of an arbitrary point of the boundary of a closed and connected $A\subseteq\Bbb R^2$ so the new set remains connected

real-analysis examples-counterexamples connectedness

Closed unit interval is connected proof

real-analysis general-topology connectedness

Formal proof that $\mathbb{R}^{2}\setminus (\mathbb{Q}\times \mathbb{Q}) \subset \mathbb{R}^{2}$ is connected.

general-topology connectedness