"Hausdorff space" meaning in English

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          "ref": "2005, N. L. Carothers, A Short Course on Banach Space Theory, Cambridge University Press, page 167",
          "text": "More generally, each compact subset of a Hausdorff space is closed.[…]Metric spaces and compact Hausdorff spaces enjoy an even stronger separation property; in either case, disjoint closed sets can always be separated by disjoint open sets.",
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          "text": "In 1953, Grothendieck [G] characterized locally convex Hausdorff spaces which have the Dunford-Pettis property and used this property to characterize weakly compact operators u : C(K) → F, where K is a compact Hausdorff space and F is a locally compact Hausdorff space (briefly, lcHs) which is complete.",
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        "A topological space in which for any two distinct points x and y, there is a pair of disjoint open sets U and V such that x∈U and y∈V."
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          "sense": "sober space",
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        "(topology) A topological space in which for any two distinct points x and y, there is a pair of disjoint open sets U and V such that x∈U and y∈V."
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          "code": "fi",
          "lang": "Finnish",
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          "word": "Hausdorffin avaruus"
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