sh*shqa

sh*shqa

Jan 1, 0001

Totally Bounded Spaces

Let $(X, \tau)$ - a topological-space

For every $\varepsilon$ exists finite set of elements: $$ S \subset \bigcup_i^N B_{\varepsilon}(x_i) $$

Where $B_{\varepsilon}(x_i)$ is a closed-ball

Non-totally-bounded criteria

totally-bounded-space-criteria.png

totally-bounded-space-criterias.png

  • Non-totally-bounded criteria
Made by @shishqa