About: Barratt–Priddy theorem

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In homotopy theory, a branch of mathematics, the Barratt–Priddy theorem (also referred to as Barratt–Priddy–Quillen theorem) expresses a connection between the homology of the symmetric groups and mapping spaces of spheres. The theorem (named after Michael Barratt, Stewart Priddy, and Daniel Quillen) is also often stated as a relation between the sphere spectrum and the classifying spaces of the symmetric groups via Quillen's plus construction.

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  • In homotopy theory, a branch of mathematics, the Barratt–Priddy theorem (also referred to as Barratt–Priddy–Quillen theorem) expresses a connection between the homology of the symmetric groups and mapping spaces of spheres. The theorem (named after Michael Barratt, Stewart Priddy, and Daniel Quillen) is also often stated as a relation between the sphere spectrum and the classifying spaces of the symmetric groups via Quillen's plus construction. (en)
  • Der Satz von Barratt-Priddy-Quillen ist ein Lehrsatz aus der , einem Teilgebiet der algebraischen Topologie innerhalb der Mathematik. Er ist nach , und Daniel Gray Quillen benannt. (de)
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  • In homotopy theory, a branch of mathematics, the Barratt–Priddy theorem (also referred to as Barratt–Priddy–Quillen theorem) expresses a connection between the homology of the symmetric groups and mapping spaces of spheres. The theorem (named after Michael Barratt, Stewart Priddy, and Daniel Quillen) is also often stated as a relation between the sphere spectrum and the classifying spaces of the symmetric groups via Quillen's plus construction. (en)
  • Der Satz von Barratt-Priddy-Quillen ist ein Lehrsatz aus der , einem Teilgebiet der algebraischen Topologie innerhalb der Mathematik. Er ist nach , und Daniel Gray Quillen benannt. (de)
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  • Satz von Barratt-Priddy-Quillen (de)
  • Barratt–Priddy theorem (en)
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