About: Cap product

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In algebraic topology the cap product is a method of adjoining a chain of degree p with a cochain of degree q, such that q ≤ p, to form a composite chain of degree p − q. It was introduced by Eduard Čech in 1936, and independently by Hassler Whitney in 1938.

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  • In algebraic topology the cap product is a method of adjoining a chain of degree p with a cochain of degree q, such that q ≤ p, to form a composite chain of degree p − q. It was introduced by Eduard Čech in 1936, and independently by Hassler Whitney in 1938. (en)
  • In der algebraischen Topologie, einem Teilgebiet der Mathematik, definiert das Cap-Produkt eine Verknüpfung zwischen Kohomologie und Homologie eines Raumes. (de)
  • En mathématiques, et plus particulièrement en topologie algébrique, le cap-produit est une opération binaire qui permet d'assembler des chaînes et des cochaînes. Elle a été introduite par Eduard Čech en 1936 et indépendamment par Hassler Whitney en 1938. (fr)
  • 代数トポロジーにおいて、キャップ積(英: cap product)は次数 p のと次数 q ≤ p のコチェインから次数 p − q の新しいチェインを作る手法である。キャップ積は1936年ににより、1938年ににより独立に導入された。 (ja)
  • 대수적 위상수학에서 교곱(交곱, 영어: cap product 캡 프로덕트[*])은 호몰로지류와 코호몰로지류를 하나의 호몰로지류로 축약시키는 연산이다. (ko)
  • Na topologia algébrica, o produto cap é um método de juntar uma de grau p com uma co-cadeia de grau q, tal que q ≤ p, para formar uma cadeia composta de grau p - q. Foi introduzido por Eduard Čech em 1936 e, independentemente, por Hassler Whitney em 1938. (pt)
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  • slant+product (en)
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  • slant product (en)
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  • In algebraic topology the cap product is a method of adjoining a chain of degree p with a cochain of degree q, such that q ≤ p, to form a composite chain of degree p − q. It was introduced by Eduard Čech in 1936, and independently by Hassler Whitney in 1938. (en)
  • In der algebraischen Topologie, einem Teilgebiet der Mathematik, definiert das Cap-Produkt eine Verknüpfung zwischen Kohomologie und Homologie eines Raumes. (de)
  • En mathématiques, et plus particulièrement en topologie algébrique, le cap-produit est une opération binaire qui permet d'assembler des chaînes et des cochaînes. Elle a été introduite par Eduard Čech en 1936 et indépendamment par Hassler Whitney en 1938. (fr)
  • 代数トポロジーにおいて、キャップ積(英: cap product)は次数 p のと次数 q ≤ p のコチェインから次数 p − q の新しいチェインを作る手法である。キャップ積は1936年ににより、1938年ににより独立に導入された。 (ja)
  • 대수적 위상수학에서 교곱(交곱, 영어: cap product 캡 프로덕트[*])은 호몰로지류와 코호몰로지류를 하나의 호몰로지류로 축약시키는 연산이다. (ko)
  • Na topologia algébrica, o produto cap é um método de juntar uma de grau p com uma co-cadeia de grau q, tal que q ≤ p, para formar uma cadeia composta de grau p - q. Foi introduzido por Eduard Čech em 1936 e, independentemente, por Hassler Whitney em 1938. (pt)
rdfs:label
  • Cap-Produkt (de)
  • Cap product (en)
  • Cap-produit (fr)
  • キャップ積 (ja)
  • 교곱 (ko)
  • Produto cap (pt)
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