발음 발음 정보 없음 · 품사 형용사 (adjective)
검증된 한국어 뜻을 준비 중입니다. 확인되지 않은 자동 번역은 표시하지 않습니다.
(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..
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.pseudocollarable의 의미, 어조와 문법이 전체 문장에 맞을 때 사용하세요. 동의어라도 모든 문장에서 바로 바꿔 쓸 수 있는 것은 아닙니다.
현재 검증된 한국어 뜻은 준비 중이며 영어 정의는 “(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.”입니다.
문장 속 의미에 따라 가까운 동의어가 달라집니다.
정확한 반대말은 사용된 의미에 따라 달라집니다.
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.
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