New posts in General Topology

Topology question about a special subset in $\mathbb R^2$

Metric Space Question: is $H(x)$ in this neighborhood?

How to prove that the induced topology is the coarsest and identification topology is the finest topology that keeps the map continuous?

Are there exotic balls?

For a function $f: X \to Y$, if $Y-V$ is finite, when is $X - f^{-1}(V)$ finite?

Is it possible to construct a continuous and bijective map from $\mathbb{R}^n$ to $[0,1]$?

If sets $A, B$ in Euclidean space are closed sets, they have the same boundary and their interior's intersection is non-empty, can we say $A=B$?

Bijective map from a set to a subset of reals?

Is a compact, connected subset of $\Bbb{R}^n$ whose boundary has empty interior inside it determined by its boundary?

Completing the proof using strong induction for $E = \bigcap_{n=1}^\infty E_n $