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Loop and Suspension Functors for Small Categories and Stable Homotopy Groups

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Abstract

We investigate a family of α-suspension and α-loop functors in the category of small categories and relate these families of functors to the classical suspension and loop functors of spaces. We prove also an analogue of the Freudenthal suspension theorem for categories with certain cofibration condition.

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Authors and Affiliations

  1. Max-Planck-Institut für Mathematik, Germany

    Elias Gabriel Minian

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  1. Elias Gabriel Minian
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Minian, E.G. Loop and Suspension Functors for Small Categories and Stable Homotopy Groups. Applied Categorical Structures 11, 207–218 (2003). https://doi.org/10.1023/A:1023558421743

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