New posts in Compactness

Examples of almost compact spaces.

The subspace $C$ of the space $(X,d)$ is compact

Willard 17R; uncountably many compact subsets of real line

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

How to Motivate Open-Cover Formulation of Compactness in a Metric Space?

$T_1$ spaces where the closure of a compact set is not compact

Can anyone explain a compact set intuitive way?

Do non-compact spaces always contain "big" closed subsets?