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Splittings of spaces CX

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Abstract

The n-fold free loop space ΩnSnX is for connected spaces X weakly equivalent to a simpler space CnX, which has a natural filtration Finr CnX. It is well known that there is a splitting StFr(CnX) ≃V pm=1 St(Fm(CnX)¦Fm−1(CnX) inducing a stable splitting of CnX. We give a simple construction for such a splitting with comparatively low estimates for the number t of necessary suspension coordinates.

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  1. Fachbereich Mathematik, Universität Osnabrück, 4500, Osnabrück

    R. M. Vogt

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  1. R. M. Vogt
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Vogt, R.M. Splittings of spaces CX . Manuscripta Math 38, 21–39 (1982). https://doi.org/10.1007/BF01168384

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  • DOI: https://doi.org/10.1007/BF01168384

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