"Stone-Čech compactification" meaning in English

See Stone-Čech compactification in All languages combined, or Wiktionary

Noun

Forms: Stone-Čech compactifications [plural], Čech-Stone compactification [alternative]
Etymology: Named after Marshall Stone and Eduard Čech, who wrote on the topic in 1937. Head templates: {{en-noun|~}} Stone-Čech compactification (countable and uncountable, plural Stone-Čech compactifications), {{tlb|en|topology}} (topology)
  1. A technique for constructing a universal map from a topological space to a compact Hausdorff space. Tags: countable, uncountable
    Sense id: en-Stone-Čech_compactification-en-noun-JenCQmE1 Categories (other): English entries with incorrect language header, Pages with 1 entry, Pages with entries, Topology Disambiguation of English entries with incorrect language header: 66 34 Disambiguation of Pages with 1 entry: 69 31 Disambiguation of Pages with entries: 70 30 Disambiguation of Topology: 50 50 Topics: mathematics, sciences, topology
  2. The space obtained by using this technique. Tags: countable, uncountable
    Sense id: en-Stone-Čech_compactification-en-noun-Mz3bi8ce Categories (other): Topology Disambiguation of Topology: 50 50 Topics: mathematics, sciences, topology

Inflected forms

Alternative forms

{
  "etymology_text": "Named after Marshall Stone and Eduard Čech, who wrote on the topic in 1937.",
  "forms": [
    {
      "form": "Stone-Čech compactifications",
      "tags": [
        "plural"
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    },
    {
      "form": "Čech-Stone compactification",
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          "_dis": "66 34",
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          "parents": [],
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          "_dis": "69 31",
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          "source": "w+disamb"
        }
      ],
      "glosses": [
        "A technique for constructing a universal map from a topological space to a compact Hausdorff space."
      ],
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          "topological space",
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        [
          "compact",
          "compact"
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        [
          "Hausdorff space",
          "Hausdorff space"
        ]
      ],
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      "topics": [
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    {
      "categories": [
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      ],
      "glosses": [
        "The space obtained by using this technique."
      ],
      "id": "en-Stone-Čech_compactification-en-noun-Mz3bi8ce",
      "tags": [
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        "uncountable"
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}
{
  "categories": [
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    "English entries with incorrect language header",
    "English eponyms",
    "English lemmas",
    "English multiword terms",
    "English nouns",
    "English terms spelled with Č",
    "English terms spelled with ◌̌",
    "English uncountable nouns",
    "Pages with 1 entry",
    "Pages with entries",
    "en:Topology"
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  "etymology_text": "Named after Marshall Stone and Eduard Čech, who wrote on the topic in 1937.",
  "forms": [
    {
      "form": "Stone-Čech compactifications",
      "tags": [
        "plural"
      ]
    },
    {
      "form": "Čech-Stone compactification",
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  "head_templates": [
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      "args": {
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  "pos": "noun",
  "senses": [
    {
      "glosses": [
        "A technique for constructing a universal map from a topological space to a compact Hausdorff space."
      ],
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          "topological space",
          "topological space"
        ],
        [
          "compact",
          "compact"
        ],
        [
          "Hausdorff space",
          "Hausdorff space"
        ]
      ],
      "tags": [
        "countable",
        "uncountable"
      ],
      "topics": [
        "mathematics",
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    },
    {
      "glosses": [
        "The space obtained by using this technique."
      ],
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        "uncountable"
      ],
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        "mathematics",
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        "topology"
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  ],
  "word": "Stone-Čech compactification"
}

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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 2025-05-19 from the enwiktionary dump dated 2025-05-01 using wiktextract (c3cc510 and 1d3fdbf). 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.

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