See contactomorphism in All languages combined, or Wiktionary
{ "etymology_templates": [ { "args": { "1": "en", "2": "contacto", "3": "morphism" }, "expansion": "contacto- + morphism", "name": "prefix" } ], "etymology_text": "From contacto- + morphism.", "forms": [ { "form": "contactomorphisms", "tags": [ "plural" ] } ], "head_templates": [ { "args": {}, "expansion": "contactomorphism (plural contactomorphisms)", "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": "English terms prefixed with contacto-", "parents": [], "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": "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": "quote" } ], "glosses": [ "An isomorphism in the contact category." ], "id": "en-contactomorphism-en-noun-3V4Emz0T", "links": [ [ "mathematics", "mathematics" ], [ "isomorphism", "isomorphism" ], [ "contact", "contact" ] ], "raw_glosses": [ "(mathematics) An isomorphism in the contact category." ], "topics": [ "mathematics", "sciences" ] } ], "word": "contactomorphism" }
{ "etymology_templates": [ { "args": { "1": "en", "2": "contacto", "3": "morphism" }, "expansion": "contacto- + morphism", "name": "prefix" } ], "etymology_text": "From contacto- + morphism.", "forms": [ { "form": "contactomorphisms", "tags": [ "plural" ] } ], "head_templates": [ { "args": {}, "expansion": "contactomorphism (plural contactomorphisms)", "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 prefixed with contacto-", "English terms with quotations", "Pages with 1 entry", "Pages with entries", "en:Mathematics" ], "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": "quote" } ], "glosses": [ "An isomorphism in the contact category." ], "links": [ [ "mathematics", "mathematics" ], [ "isomorphism", "isomorphism" ], [ "contact", "contact" ] ], "raw_glosses": [ "(mathematics) An isomorphism in the contact category." ], "topics": [ "mathematics", "sciences" ] } ], "word": "contactomorphism" }
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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 2025-01-15 from the enwiktionary dump dated 2025-01-01 using wiktextract (b941637 and 4230888). 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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