"diffeological" meaning in English

See diffeological in All languages combined, or Wiktionary

Adjective

Etymology: diffeology + -ical Etymology templates: {{suffix|en|diffeology|ical}} diffeology + -ical Head templates: {{en-adj|-}} diffeological (not comparable)
  1. (mathematics) Having a diffeology. Tags: not-comparable Categories (topical): Mathematics
    Sense id: en-diffeological-en-adj-0ntBJSDJ Categories (other): English entries with incorrect language header, English terms suffixed with -ical Topics: mathematics, sciences

Download JSON data for diffeological meaning in English (1.7kB)

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  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "diffeology",
        "3": "ical"
      },
      "expansion": "diffeology + -ical",
      "name": "suffix"
    }
  ],
  "etymology_text": "diffeology + -ical",
  "head_templates": [
    {
      "args": {
        "1": "-"
      },
      "expansion": "diffeological (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",
            "Entry maintenance"
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        },
        {
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          "name": "English terms suffixed with -ical",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "examples": [
        {
          "ref": "2015, Ekaterina Pervova, “On the notion of scalar product for finite-dimensional diffeological vector spaces”, in arXiv",
          "text": "We apply this notion to make some observation on subspaces which split off as smooth direct summands (providing examples which illustrate that not all subspaces do), and then to show that the diffeological dual of a finite-dimensional diffeological vector space always has the standard diffeology and in particular, any pseudo-metric on the initial space induces, in the obvious way, a smooth scalar product on the dual..",
          "type": "quotation"
        }
      ],
      "glosses": [
        "Having a diffeology."
      ],
      "id": "en-diffeological-en-adj-0ntBJSDJ",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "diffeology",
          "diffeology#English"
        ]
      ],
      "raw_glosses": [
        "(mathematics) Having a diffeology."
      ],
      "tags": [
        "not-comparable"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "diffeological"
}
{
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    {
      "args": {
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        "2": "diffeology",
        "3": "ical"
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      "expansion": "diffeology + -ical",
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  ],
  "etymology_text": "diffeology + -ical",
  "head_templates": [
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  "lang_code": "en",
  "pos": "adj",
  "senses": [
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        "en:Mathematics"
      ],
      "examples": [
        {
          "ref": "2015, Ekaterina Pervova, “On the notion of scalar product for finite-dimensional diffeological vector spaces”, in arXiv",
          "text": "We apply this notion to make some observation on subspaces which split off as smooth direct summands (providing examples which illustrate that not all subspaces do), and then to show that the diffeological dual of a finite-dimensional diffeological vector space always has the standard diffeology and in particular, any pseudo-metric on the initial space induces, in the obvious way, a smooth scalar product on the dual..",
          "type": "quotation"
        }
      ],
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        "Having a diffeology."
      ],
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      "raw_glosses": [
        "(mathematics) Having a diffeology."
      ],
      "tags": [
        "not-comparable"
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This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-05-31 from the enwiktionary dump dated 2024-05-02 using wiktextract (91e95e7 and db5a844). 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.