topological space in a sentence

Examples

1. There are, however, topological spaces that are not metric spaces.
2. Nearly all topological spaces normally studied in mathematics are T 0 spaces.
3. Thus we use a category to generalize a topological space.
4. from the category of topological spaces to the category of abelian groups.
5. The converse holds in many, but not all, topological spaces.
6. The Morita conjectures on normal topological spaces are also named after him.
7. The above topological space was further studied by several authors.
8. Perhaps surprisingly, there are finite topological spaces with nontrivial fundamental groups.
9. The goal of algebraic topology is to categorize or classify topological spaces.
10. If the topological space is locally compact, these notions are equivalent.