"ℝ-order tree" meaning in English

See ℝ-order tree in All languages combined, or Wiktionary

Noun

Forms: ℝ-order trees [plural]
Head templates: {{en-noun|head=ℝ-order tree}} ℝ-order tree (plural ℝ-order trees)
  1. (topology) An order tree whose segments are homeomorphic to segments of the real line and that is the union of countably many segments. Categories (topical): Topology
    Sense id: en-ℝ-order_tree-en-noun-GGfHct2h Categories (other): English entries with incorrect language header Topics: mathematics, sciences, topology

Inflected forms

Download JSON data for ℝ-order tree meaning in English (1.2kB)

{
  "forms": [
    {
      "form": "ℝ-order trees",
      "tags": [
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  "head_templates": [
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  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
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          "name": "English entries with incorrect language header",
          "parents": [
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          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Topology",
          "orig": "en:Topology",
          "parents": [
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "An order tree whose segments are homeomorphic to segments of the real line and that is the union of countably many segments."
      ],
      "id": "en-ℝ-order_tree-en-noun-GGfHct2h",
      "links": [
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          "topology"
        ],
        [
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          "order tree"
        ],
        [
          "segment",
          "segment"
        ],
        [
          "homeomorphic",
          "homeomorphic"
        ],
        [
          "real line",
          "real line"
        ],
        [
          "union",
          "union"
        ],
        [
          "countably",
          "countably"
        ]
      ],
      "raw_glosses": [
        "(topology) An order tree whose segments are homeomorphic to segments of the real line and that is the union of countably many segments."
      ],
      "topics": [
        "mathematics",
        "sciences",
        "topology"
      ]
    }
  ],
  "word": "ℝ-order tree"
}

{
  "forms": [
    {
      "form": "ℝ-order trees",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {
        "head": "ℝ-order tree"
      },
      "expansion": "ℝ-order tree (plural ℝ-order trees)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "English terms spelled with ℝ",
        "en:Topology"
      ],
      "glosses": [
        "An order tree whose segments are homeomorphic to segments of the real line and that is the union of countably many segments."
      ],
      "links": [
        [
          "topology",
          "topology"
        ],
        [
          "order tree",
          "order tree"
        ],
        [
          "segment",
          "segment"
        ],
        [
          "homeomorphic",
          "homeomorphic"
        ],
        [
          "real line",
          "real line"
        ],
        [
          "union",
          "union"
        ],
        [
          "countably",
          "countably"
        ]
      ],
      "raw_glosses": [
        "(topology) An order tree whose segments are homeomorphic to segments of the real line and that is the union of countably many segments."
      ],
      "topics": [
        "mathematics",
        "sciences",
        "topology"
      ]
    }
  ],
  "word": "ℝ-order tree"
}

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-05-01 from the enwiktionary dump dated 2024-04-21 using wiktextract (f4fd8c9 and c9440ce). 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.

If you use this data in academic research, please cite Tatu Ylonen: Wiktextract: Wiktionary as Machine-Readable Structured Data, Proceedings of the 13th Conference on Language Resources and Evaluation (LREC), pp. 1317-1325, Marseille, 20-25 June 2022. Linking to the relevant page(s) under https://kaikki.org would also be greatly appreciated.