"hypercontinuum" meaning in English

See hypercontinuum in All languages combined, or Wiktionary

Noun

IPA: /ˈhaɪ.pɚ.kənˌtɪn.ju.əm/ [US] Forms: hypercontinua [plural]
Etymology: hyper- + continuum Etymology templates: {{prefix|en|hyper|continuum}} hyper- + continuum Head templates: {{en-noun|hypercontinua}} hypercontinuum (plural hypercontinua)
  1. (set theory) The set of all subsets of a set of with the (infinite) cardinality of the continuum. Categories (topical): Set theory
    Sense id: en-hypercontinuum-en-noun-rsuQjW80 Categories (other): English entries with incorrect language header, English terms prefixed with hyper-, Infinity Topics: mathematics, sciences, set-theory

Download JSON data for hypercontinuum meaning in English (1.8kB)

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  "etymology_text": "hyper- + continuum",
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        {
          "ref": "2015, Alfonso Artigue, “Pseudo-Anosov maps and continuum theory”, in arXiv",
          "text": "We show that negative iterates of a stable arc converges to this hypercontinuum in the considered metric.",
          "type": "quotation"
        }
      ],
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        "The set of all subsets of a set of with the (infinite) cardinality of the continuum."
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      "raw_glosses": [
        "(set theory) The set of all subsets of a set of with the (infinite) cardinality of the continuum."
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        "The set of all subsets of a set of with the (infinite) cardinality of the continuum."
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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 2024-06-04 from the enwiktionary dump dated 2024-05-02 using wiktextract (e9e0a99 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.