New posts in General Topology

Why the following function is closed?

Why do we define compactness the way we do?

When does every compact $A$ in a topology satisfy $A⊆B⊆C$ for some open $B$ and compact $C$?

Is topology just a generalization of real analysis?

If $f:\mathbb R^2 \to \mathbb R$ continuous on straight lines and $f(\text{compact})= \text{compact}$, then $f$ continuous?

Is there a bijective function $f:[0,1] \to [0,1]$ such that the graph of $f$ in $\mathbb{R}^2$ is a dense subset of $[0,1] \times [0,1]$?

Definition of connectedness and it's intuition

Difficulty Understanding Rudin's Example 2.10(b)

On the equivalence of several definitions of the torus

Structure of the Mapping Cylinder of a Continuous Function