"regular open" meaning in English

See regular open in All languages combined, or Wiktionary

Adjective

Etymology: From regular + open; apparently a backformation from regular open set. Etymology templates: {{m|en|regular}} regular, {{m|en|open}} open, {{m|en||regular open set}} regular open set Head templates: {{en-adj|-}} regular open (not comparable)
  1. (rare, mathematics, of a set) Being the interior of its closure. Tags: not-comparable, rare Categories (topical): Mathematics Related terms: regular closed
    Sense id: en-regular_open-en-adj-Raz9-WAx Categories (other): English entries with incorrect language header Topics: mathematics, sciences

Download JSON data for regular open meaning in English (1.5kB)

{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "regular"
      },
      "expansion": "regular",
      "name": "m"
    },
    {
      "args": {
        "1": "en",
        "2": "open"
      },
      "expansion": "open",
      "name": "m"
    },
    {
      "args": {
        "1": "en",
        "2": "",
        "3": "regular open set"
      },
      "expansion": "regular open set",
      "name": "m"
    }
  ],
  "etymology_text": "From regular + open; apparently a backformation from regular open set.",
  "head_templates": [
    {
      "args": {
        "1": "-"
      },
      "expansion": "regular open (not comparable)",
      "name": "en-adj"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "adj",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "examples": [
        {
          "text": "The set (0,1)∪(1,2) is open, but is not regular open, because its closure is [0,2], so the interior of its closure is (0,2)."
        }
      ],
      "glosses": [
        "Being the interior of its closure."
      ],
      "id": "en-regular_open-en-adj-Raz9-WAx",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "interior",
          "interior"
        ],
        [
          "closure",
          "closure"
        ]
      ],
      "raw_glosses": [
        "(rare, mathematics, of a set) Being the interior of its closure."
      ],
      "raw_tags": [
        "of a set"
      ],
      "related": [
        {
          "word": "regular closed"
        }
      ],
      "tags": [
        "not-comparable",
        "rare"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "regular open"
}
{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "regular"
      },
      "expansion": "regular",
      "name": "m"
    },
    {
      "args": {
        "1": "en",
        "2": "open"
      },
      "expansion": "open",
      "name": "m"
    },
    {
      "args": {
        "1": "en",
        "2": "",
        "3": "regular open set"
      },
      "expansion": "regular open set",
      "name": "m"
    }
  ],
  "etymology_text": "From regular + open; apparently a backformation from regular open set.",
  "head_templates": [
    {
      "args": {
        "1": "-"
      },
      "expansion": "regular open (not comparable)",
      "name": "en-adj"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "adj",
  "related": [
    {
      "word": "regular closed"
    }
  ],
  "senses": [
    {
      "categories": [
        "English adjectives",
        "English entries with incorrect language header",
        "English lemmas",
        "English multiword terms",
        "English terms with rare senses",
        "English uncomparable adjectives",
        "en:Mathematics"
      ],
      "examples": [
        {
          "text": "The set (0,1)∪(1,2) is open, but is not regular open, because its closure is [0,2], so the interior of its closure is (0,2)."
        }
      ],
      "glosses": [
        "Being the interior of its closure."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "interior",
          "interior"
        ],
        [
          "closure",
          "closure"
        ]
      ],
      "raw_glosses": [
        "(rare, mathematics, of a set) Being the interior of its closure."
      ],
      "raw_tags": [
        "of a set"
      ],
      "tags": [
        "not-comparable",
        "rare"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "regular open"
}

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.