"arc-connected" meaning in English

See arc-connected in All languages combined, or Wiktionary

Adjective

Head templates: {{en-adj|-}} arc-connected (not comparable)
  1. (of a topological space) Such that every pair of points in the space comprises the boundary of some arc embedded in the space. Tags: not-comparable Hypernyms: connected, path-connected Translations (such that every doubleton is joined by an arc): kurvesammenhængende (Danish), connesso per archi (Italian)
    Sense id: en-arc-connected-en-adj-zFgtOAB4 Categories (other): English entries with incorrect language header

Alternative forms

Download JSON data for arc-connected meaning in English (1.2kB)

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  "head_templates": [
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      "expansion": "arc-connected (not comparable)",
      "name": "en-adj"
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  "lang": "English",
  "lang_code": "en",
  "pos": "adj",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
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          "source": "w"
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      ],
      "glosses": [
        "Such that every pair of points in the space comprises the boundary of some arc embedded in the space."
      ],
      "hypernyms": [
        {
          "word": "connected"
        },
        {
          "word": "path-connected"
        }
      ],
      "id": "en-arc-connected-en-adj-zFgtOAB4",
      "links": [
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        [
          "boundary",
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        ],
        [
          "embed",
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      ],
      "raw_glosses": [
        "(of a topological space) Such that every pair of points in the space comprises the boundary of some arc embedded in the space."
      ],
      "raw_tags": [
        "of a topological space"
      ],
      "tags": [
        "not-comparable"
      ],
      "translations": [
        {
          "code": "da",
          "lang": "Danish",
          "sense": "such that every doubleton is joined by an arc",
          "word": "kurvesammenhængende"
        },
        {
          "code": "it",
          "lang": "Italian",
          "sense": "such that every doubleton is joined by an arc",
          "word": "connesso per archi"
        }
      ]
    }
  ],
  "word": "arc-connected"
}
{
  "head_templates": [
    {
      "args": {
        "1": "-"
      },
      "expansion": "arc-connected (not comparable)",
      "name": "en-adj"
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    {
      "word": "connected"
    },
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      "word": "path-connected"
    }
  ],
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  "lang_code": "en",
  "pos": "adj",
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        "English entries with incorrect language header",
        "English lemmas",
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        "English uncomparable adjectives"
      ],
      "glosses": [
        "Such that every pair of points in the space comprises the boundary of some arc embedded in the space."
      ],
      "links": [
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          "topological space",
          "topological space"
        ],
        [
          "pair",
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        "(of a topological space) Such that every pair of points in the space comprises the boundary of some arc embedded in the space."
      ],
      "raw_tags": [
        "of a topological space"
      ],
      "tags": [
        "not-comparable"
      ]
    }
  ],
  "translations": [
    {
      "code": "da",
      "lang": "Danish",
      "sense": "such that every doubleton is joined by an arc",
      "word": "kurvesammenhængende"
    },
    {
      "code": "it",
      "lang": "Italian",
      "sense": "such that every doubleton is joined by an arc",
      "word": "connesso per archi"
    }
  ],
  "word": "arc-connected"
}

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.