| 31. | A discrete topological space is locally compact and Hausdorff.
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| 32. | Topological spaces are open intervals of the real line.
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| 33. | A topological space homeomorphic to one of these is called a SierpiDski space.
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| 34. | A topological space is said to be disjoint subsets have disjoint compact closures.
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| 35. | Different authors restrict their attention to topological spaces that satisfy various separation axioms.
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| 36. | A topological space is said to be "'base of connected sets.
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| 37. | A topological space is preregular if and only if its Kolmogorov quotient is Hausdorff.
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| 38. | Even more generally, one can study sequences with elements in some topological space.
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| 39. | A set with a topology is called a " topological space ".
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| 40. | ;Density : the minimal cardinality of a dense subset of a topological space.
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