"loopspace" meaning in English

See loopspace in All languages combined, or Wiktionary

Noun

Forms: loopspaces [plural]
Head templates: {{en-noun}} loopspace (plural loopspaces)
  1. (mathematics) A function space of continuous functions that map from the unit interval to a space from x₀ to x₁, all of which map 0 to x₀ and 1 to x₁. Categories (topical): Mathematics
    Sense id: en-loopspace-en-noun-mV-CcYeD Categories (other): English entries with incorrect language header, Pages with 1 entry, Pages with entries Topics: mathematics, sciences

Inflected forms

{
  "forms": [
    {
      "form": "loopspaces",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "loopspace (plural loopspaces)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with 1 entry",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with entries",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "examples": [
        {
          "ref": "2016, Jesse C. McKeown, “Complex Cobordism vs. Representing Formal Group Laws”, in arXiv:",
          "text": "Ravenel's: \"Infinite loopspace theorists, where are you?\", or more prosaically: Can one start from the notion of Ring Spectrum Representing [Formal Group Laws] (the functor) and arrive at Complex Cobordism? Our answer is a tentative \"sort-of\"..",
          "type": "quote"
        }
      ],
      "glosses": [
        "A function space of continuous functions that map from the unit interval to a space from x₀ to x₁, all of which map 0 to x₀ and 1 to x₁."
      ],
      "id": "en-loopspace-en-noun-mV-CcYeD",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "function",
          "function"
        ],
        [
          "space",
          "space"
        ],
        [
          "continuous",
          "continuous"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A function space of continuous functions that map from the unit interval to a space from x₀ to x₁, all of which map 0 to x₀ and 1 to x₁."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "loopspace"
}
{
  "forms": [
    {
      "form": "loopspaces",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "loopspace (plural loopspaces)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English lemmas",
        "English nouns",
        "English terms with quotations",
        "Pages with 1 entry",
        "Pages with entries",
        "en:Mathematics"
      ],
      "examples": [
        {
          "ref": "2016, Jesse C. McKeown, “Complex Cobordism vs. Representing Formal Group Laws”, in arXiv:",
          "text": "Ravenel's: \"Infinite loopspace theorists, where are you?\", or more prosaically: Can one start from the notion of Ring Spectrum Representing [Formal Group Laws] (the functor) and arrive at Complex Cobordism? Our answer is a tentative \"sort-of\"..",
          "type": "quote"
        }
      ],
      "glosses": [
        "A function space of continuous functions that map from the unit interval to a space from x₀ to x₁, all of which map 0 to x₀ and 1 to x₁."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "function",
          "function"
        ],
        [
          "space",
          "space"
        ],
        [
          "continuous",
          "continuous"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A function space of continuous functions that map from the unit interval to a space from x₀ to x₁, all of which map 0 to x₀ and 1 to x₁."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "loopspace"
}

Download raw JSONL data for loopspace meaning in English (1.3kB)


This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2025-03-26 from the enwiktionary dump dated 2025-03-21 using wiktextract (fef8596 and 633533e). 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.