Urysohn's lemma in English

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{
  "etymology_text": "Named after the mathematician Pavel Samuilovich Urysohn.",
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      "glosses": [
        "A lemma stating that a topological space is normal if and only if any two disjoint closed subsets can be separated by a continuous function."
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      "raw_glosses": [
        "(topology) A lemma stating that a topological space is normal if and only if any two disjoint closed subsets can be separated by a continuous function."
      ],
      "topics": [
        "mathematics",
        "sciences",
        "topology"
      ]
    }
  ],
  "word": "Urysohn's lemma"
}

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{
  "etymology_text": "Named after the mathematician Pavel Samuilovich Urysohn.",
  "head_templates": [
    {
      "args": {},
      "expansion": "Urysohn's lemma",
      "name": "en-prop"
    }
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  "lang_code": "en",
  "pos": "name",
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    {
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        "English eponyms",
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        "English multiword terms",
        "English proper nouns",
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        "Pages with entries",
        "en:Topology"
      ],
      "glosses": [
        "A lemma stating that a topological space is normal if and only if any two disjoint closed subsets can be separated by a continuous function."
      ],
      "links": [
        [
          "topology",
          "topology"
        ],
        [
          "topological space",
          "topological space"
        ],
        [
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          "normal"
        ],
        [
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          "if and only if"
        ],
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          "subset"
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          "separate"
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        ]
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        "(topology) A lemma stating that a topological space is normal if and only if any two disjoint closed subsets can be separated by a continuous function."
      ],
      "topics": [
        "mathematics",
        "sciences",
        "topology"
      ]
    }
  ],
  "word": "Urysohn's lemma"
}

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-11-06 from the enwiktionary dump dated 2024-10-02 using wiktextract (fbeafe8 and 7f03c9b). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.

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"Urysohn's lemma" meaning in English

Proper name