Newbetuts

Let $A$ be a dense subset of $X$ and suppose $A$ is connected in the induced subspace topology, then $X$ is also connected

Connectedness and path connectedness of a set whose intersection with lines is open

Exists $V\subseteq X$ such that $U\cap V$ is connected if $X$ is simply connected

Proving that every countable metric space is disconnected? [duplicate]

Path connected space that is not locally connected

Connectedness property of $R^2$

Prove that if $X$ and it's closure $\overline X$ are connected and if $X\subset Y \subset \overline X$, show that Y is also connected.

Connected and Compact preserving function is not continuous example?

Prove that the manifold $SO(n)$ is connected

Is connectedness $\implies $ local connectedness?

Product of connected spaces - Proof

dimension of a connected Manifold

Are the spaces $\mathbb{H}^n$ and $\overline{\mathbb{R}}^n_+$ homeomorphic?

Is the set $ {\rm SL }(n, \mathbb {R}) $ connected in ${\rm M }(n, \mathbb {R}) $

Prove that the graph is connected

"Antisymmetry" among cut points

New posts in connectedness

Edge percolation on $\mathbb{Z}^2$: probability that two neighbouring vertices are connected?

Connectedness of parts used in the Banach–Tarski paradox

When can we recover a topology from its connected sets?

When is the free loop space simply connected?

Let $A$ be a dense subset of $X$ and suppose $A$ is connected in the induced subspace topology, then $X$ is also connected

Connectedness and path connectedness of a set whose intersection with lines is open

Exists $V\subseteq X$ such that $U\cap V$ is connected if $X$ is simply connected

Proving that every countable metric space is disconnected? [duplicate]

Path connected space that is not locally connected

Connectedness property of $R^2$

Prove that if $X$ and it's closure $\overline X$ are connected and if $X\subset Y \subset \overline X$, show that Y is also connected.

Connected and Compact preserving function is not continuous example?

Prove that the manifold $SO(n)$ is connected

Is connectedness $\implies $ local connectedness?

Product of connected spaces - Proof

dimension of a connected Manifold

Are the spaces $\mathbb{H}^n$ and $\overline{\mathbb{R}}^n_+$ homeomorphic?

Is the set $ {\rm SL }(n, \mathbb {R}) $ connected in ${\rm M }(n, \mathbb {R}) $

Prove that the graph is connected

"Antisymmetry" among cut points