About: Homotopy fiber

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In mathematics, especially homotopy theory, the homotopy fiber (sometimes called the mapping fiber) is part of a construction that associates a fibration to an arbitrary continuous function of topological spaces . It acts as a homotopy theoretic kernel of a mapping of topological spaces due to the fact it yields a long exact sequence of homotopy groups Moreover, the homotopy fiber can be found in other contexts, such as homological algebra, where the distinguished triangle

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  • In der Algebraischen Topologie, einem Teilgebiet der Mathematik, ist die Homotopie-Faser einer Abbildung ein nützlicher Begriff der Homotopietheorie. (de)
  • In mathematics, especially homotopy theory, the homotopy fiber (sometimes called the mapping fiber) is part of a construction that associates a fibration to an arbitrary continuous function of topological spaces . It acts as a homotopy theoretic kernel of a mapping of topological spaces due to the fact it yields a long exact sequence of homotopy groups Moreover, the homotopy fiber can be found in other contexts, such as homological algebra, where the distinguished triangle gives a long exact sequence analogous to the long exact sequence of homotopy groups. There is a dual construction called the homotopy cofiber. (en)
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  • In der Algebraischen Topologie, einem Teilgebiet der Mathematik, ist die Homotopie-Faser einer Abbildung ein nützlicher Begriff der Homotopietheorie. (de)
  • In mathematics, especially homotopy theory, the homotopy fiber (sometimes called the mapping fiber) is part of a construction that associates a fibration to an arbitrary continuous function of topological spaces . It acts as a homotopy theoretic kernel of a mapping of topological spaces due to the fact it yields a long exact sequence of homotopy groups Moreover, the homotopy fiber can be found in other contexts, such as homological algebra, where the distinguished triangle (en)
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  • Homotopie-Faser (de)
  • Homotopy fiber (en)
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