## A category of pseudo-tangles with classifying space Omega S-infinity(infinity) and applications

Autor(en): | Blomer, O |

Stichwörter: | category; classifying space; duality; Mathematics; pseudo-tangles; S-1S construction; stable homotopy of spheres |

Erscheinungsdatum: | 2003 |

Herausgeber: | TAYLOR & FRANCIS INC |

Journal: | COMMUNICATIONS IN ALGEBRA |

Volumen: | 31 |

Ausgabe: | 7 |

Startseite: | 3061 |

Seitenende: | 3110 |

Zusammenfassung: | By using Quillen's S-1 S construction, we construct a category 9 with classifying space Q'S, which has a pictorial description by pseudo-tangles. This leads to an elementary interpretation of the generators of the stable stems pi(n)(S) = pi(n)(Omega(infinity)S(infinity)) for n = 0, 1, 2. In addition, we investigate the homotopy fibre, of the inclusion G --> F-P,F-D, where F-P,F-D denotes the free permutative category with duality, and compute the homotopy groups of F-P,F-D for n = 0, 1, 2. |

ISSN: | 00927872 |

DOI: | 10.1081/AGB-120022213 |

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