| 11. | There are, however, topological spaces that are not metric spaces.
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| 12. | Nearly all topological spaces normally studied in mathematics are T 0 spaces.
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| 13. | Thus we use a category to generalize a topological space.
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| 14. | From the category of topological spaces to the category of abelian groups.
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| 15. | The converse holds in many, but not all, topological spaces.
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| 16. | The Morita conjectures on normal topological spaces are also named after him.
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| 17. | The above topological space was further studied by several authors.
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| 18. | Perhaps surprisingly, there are finite topological spaces with nontrivial fundamental groups.
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| 19. | The goal of algebraic topology is to categorize or classify topological spaces.
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| 20. | If the topological space is locally compact, these notions are equivalent.
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