1. This topological space is not considered a subspace of another space. 2. Nearly all topological spaces normally studied in mathematics are T 0. 3. Triangulation is useful in determining the properties of a topological space . 4. More generally, a Noetherian scheme is a Noetherian topological space . 5. This makes a topological space that is no longer a manifold. 6. Finite topological spaces are a special class of finitely generated spaces. 7. This work concentrated on the domain is a given topological space . 8. Homeomorphisms are the isomorphisms in the category of topological spaces . 9. ;Point : A point is an element of a topological space . 10. Properties of certain vector bundles provide information about the underlying topological space .