"contactomorphism" meaning in English

See contactomorphism in All languages combined, or Wiktionary

Noun

Forms: contactomorphisms [plural]
Etymology: contacto- + morphism Etymology templates: {{prefix|en|contacto|morphism}} contacto- + morphism Head templates: {{en-noun}} contactomorphism (plural contactomorphisms)
  1. (mathematics) An isomorphism in the contact category. Categories (topical): Mathematics
    Sense id: en-contactomorphism-en-noun-3V4Emz0T Categories (other): English entries with incorrect language header, English terms prefixed with contacto- Topics: mathematics, sciences

Inflected forms

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

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  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "contacto",
        "3": "morphism"
      },
      "expansion": "contacto- + morphism",
      "name": "prefix"
    }
  ],
  "etymology_text": "contacto- + morphism",
  "forms": [
    {
      "form": "contactomorphisms",
      "tags": [
        "plural"
      ]
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  "head_templates": [
    {
      "args": {},
      "expansion": "contactomorphism (plural contactomorphisms)",
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  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
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        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
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        },
        {
          "kind": "other",
          "name": "English terms prefixed with contacto-",
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        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
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            "Sciences",
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      ],
      "examples": [
        {
          "ref": "2015, Sheila Sandon, “Bi-invariant metrics on contactomorphism groups”, in arXiv",
          "text": "In this expository article I will review some constructions of bi-invariant metrics on the contactomorphism group, and how these metrics are related to some other global rigidity phenomena in contact topology which have been discovered in the last few years, in particular the notion of orderability (due to Eliashberg and Polterovich) and an analogue in contact topology (due to Eliashberg, Kim and Poltorovich) of Gromov's symplectic non-squeezing theorem..",
          "type": "quotation"
        }
      ],
      "glosses": [
        "An isomorphism in the contact category."
      ],
      "id": "en-contactomorphism-en-noun-3V4Emz0T",
      "links": [
        [
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        ],
        [
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        ],
        [
          "contact",
          "contact"
        ]
      ],
      "raw_glosses": [
        "(mathematics) An isomorphism in the contact category."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "contactomorphism"
}
{
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    {
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      "tags": [
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  "lang_code": "en",
  "pos": "noun",
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      "examples": [
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          "ref": "2015, Sheila Sandon, “Bi-invariant metrics on contactomorphism groups”, in arXiv",
          "text": "In this expository article I will review some constructions of bi-invariant metrics on the contactomorphism group, and how these metrics are related to some other global rigidity phenomena in contact topology which have been discovered in the last few years, in particular the notion of orderability (due to Eliashberg and Polterovich) and an analogue in contact topology (due to Eliashberg, Kim and Poltorovich) of Gromov's symplectic non-squeezing theorem..",
          "type": "quotation"
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      ],
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        "An isomorphism in the contact category."
      ],
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      ],
      "raw_glosses": [
        "(mathematics) An isomorphism in the contact category."
      ],
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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.

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