"pseudocollarable" meaning in English

See pseudocollarable in All languages combined, or Wiktionary

Adjective

Etymology: From pseudo- + collarable. Etymology templates: {{prefix|en|pseudo|collarable}} pseudo- + collarable Head templates: {{en-adj|-}} pseudocollarable (not comparable)
  1. (mathematics) Such that there exists a neighborhood that is homeomorphic to a product, but this homeomorphism may not preserve all the desired structures or conditions that a true collar neighborhood would. Tags: not-comparable Categories (topical): Mathematics
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      "expansion": "pseudo- + collarable",
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  ],
  "etymology_text": "From pseudo- + collarable.",
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          "name": "English entries with incorrect language header",
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          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
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            "Sciences",
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            "Fundamental"
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      "examples": [
        {
          "ref": "2015, Karim A. Adiprasito, Louis Funar, “Hyperbolicity of contractible manifolds”, in arXiv:",
          "text": "Answering a question going back to Gromov, we show that, for an open, polyhedral contractible manifold M of dimension at least 6, the following conditions are equivalent: - M admits a geodesically complete CAT(0) metric; - M can be collapsed; - M is pseudocollarable. This yields many new contractible manifolds that admit CAT(0) metrics, and it shows that the CAT(0) property of a contractible manifold is purely determined by a condition at infinity, and shows that contractible manifolds of the Whitehead type can never admit a complete CAT(0) metric.",
          "type": "quote"
        }
      ],
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        "Such that there exists a neighborhood that is homeomorphic to a product, but this homeomorphism may not preserve all the desired structures or conditions that a true collar neighborhood would."
      ],
      "id": "en-pseudocollarable-en-adj-q0FibTtL",
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        [
          "mathematics",
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        ],
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        ]
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      "raw_glosses": [
        "(mathematics) Such that there exists a neighborhood that is homeomorphic to a product, but this homeomorphism may not preserve all the desired structures or conditions that a true collar neighborhood would."
      ],
      "tags": [
        "not-comparable"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "pseudocollarable"
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  ],
  "etymology_text": "From pseudo- + collarable.",
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          "ref": "2015, Karim A. Adiprasito, Louis Funar, “Hyperbolicity of contractible manifolds”, in arXiv:",
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      "glosses": [
        "Such that there exists a neighborhood that is homeomorphic to a product, but this homeomorphism may not preserve all the desired structures or conditions that a true collar neighborhood would."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
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          "homeomorphic",
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        ],
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        ],
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        ]
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      "raw_glosses": [
        "(mathematics) Such that there exists a neighborhood that is homeomorphic to a product, but this homeomorphism may not preserve all the desired structures or conditions that a true collar neighborhood would."
      ],
      "tags": [
        "not-comparable"
      ],
      "topics": [
        "mathematics",
        "sciences"
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  ],
  "word": "pseudocollarable"
}

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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 2024-12-15 from the enwiktionary dump dated 2024-12-04 using wiktextract (8a39820 and 4401a4c). 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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