拓樸學

relations least upper bound property well-ordering property cartesian products finite sets countable and uncountable sets topological spaces basis for a topology the order topology the product topology on SxT the subspace topology closed sets and limit points Hausdorff spaces continuous functions properties of continuous functions the product topology the metric topology the metric topology (continued) connnected spaces connected subspace of the real line compact spaces compact subspaces of the real line limit point compactness local compactness the compatibility axioms the separation axioms the Urysohn lemma the Urysohn metrization theorem the Tychonoff theorem