"Poincaré space" meaning in English

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  "lang_code": "en",
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      "examples": [
        {
          "text": "Any closed, orientable, connected manifold is a Poincaré space.",
          "type": "example"
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      "glosses": [
        "An n-dimensional topological space with a distinguished element µ of its nth homology group such that taking the cap product with an element of the kth cohomology group yields an isomorphism to the (n − k)th cohomology group."
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        [
          "homology",
          "homology"
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        [
          "group",
          "group"
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          "cap product",
          "cap product"
        ],
        [
          "element",
          "element"
        ],
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          "cohomology",
          "cohomology"
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          "isomorphism",
          "isomorphism"
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        "(topology) An n-dimensional topological space with a distinguished element µ of its nth homology group such that taking the cap product with an element of the kth cohomology group yields an isomorphism to the (n − k)th cohomology group."
      ],
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        "mathematics",
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      "wikipedia": [
        "Poincaré space"
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  "word": "Poincaré space"
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        "An n-dimensional topological space with a distinguished element µ of its nth homology group such that taking the cap product with an element of the kth cohomology group yields an isomorphism to the (n − k)th cohomology group."
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          "cap product"
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          "element",
          "element"
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        "(topology) An n-dimensional topological space with a distinguished element µ of its nth homology group such that taking the cap product with an element of the kth cohomology group yields an isomorphism to the (n − k)th cohomology group."
      ],
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