"H-space" meaning in All languages combined

See H-space on Wiktionary

Noun [English]

Forms: H-spaces [plural]
Etymology: The H was suggested by Jean-Pierre Serre in recognition of the influence exerted on the subject by Heinz Hopf. Head templates: {{en-noun}} H-space (plural H-spaces)
  1. (topology) A topological space X (generally assumed to be connected) together with a continuous map μ : X × X → X with an identity element e such that μ(e, x) = μ(x, e) = x for all x in X. Wikipedia link: H-space Categories (topical): Topology
    Sense id: en-H-space-en-noun-ihdE4wkM Categories (other): English entries with incorrect language header, Pages with 1 entry, Pages with entries Topics: mathematics, sciences, topology

Inflected forms

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  "etymology_text": "The H was suggested by Jean-Pierre Serre in recognition of the influence exerted on the subject by Heinz Hopf.",
  "forms": [
    {
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      "tags": [
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  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
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          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
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            "Entry maintenance"
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          "source": "w"
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        {
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        },
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        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Topology",
          "orig": "en:Topology",
          "parents": [
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "A topological space X (generally assumed to be connected) together with a continuous map μ : X × X → X with an identity element e such that μ(e, x) = μ(x, e) = x for all x in X."
      ],
      "id": "en-H-space-en-noun-ihdE4wkM",
      "links": [
        [
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        ],
        [
          "topological space",
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        ],
        [
          "connected",
          "connected"
        ]
      ],
      "raw_glosses": [
        "(topology) A topological space X (generally assumed to be connected) together with a continuous map μ : X × X → X with an identity element e such that μ(e, x) = μ(x, e) = x for all x in X."
      ],
      "topics": [
        "mathematics",
        "sciences",
        "topology"
      ],
      "wikipedia": [
        "H-space"
      ]
    }
  ],
  "word": "H-space"
}
{
  "etymology_text": "The H was suggested by Jean-Pierre Serre in recognition of the influence exerted on the subject by Heinz Hopf.",
  "forms": [
    {
      "form": "H-spaces",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
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  ],
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  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English eponyms",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "Pages with 1 entry",
        "Pages with entries",
        "en:Topology"
      ],
      "glosses": [
        "A topological space X (generally assumed to be connected) together with a continuous map μ : X × X → X with an identity element e such that μ(e, x) = μ(x, e) = x for all x in X."
      ],
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      "raw_glosses": [
        "(topology) A topological space X (generally assumed to be connected) together with a continuous map μ : X × X → X with an identity element e such that μ(e, x) = μ(x, e) = x for all x in X."
      ],
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        "mathematics",
        "sciences",
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    }
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}

Download raw JSONL data for H-space meaning in All languages combined (1.2kB)


This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2025-01-03 from the enwiktionary dump dated 2025-01-01 using wiktextract (eaedd02 and 8fbd9e8). 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.