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Inductive LS cocategory and localisation

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In this paper we prove that the inductive cocategory of a nilpotent CW-complex of finite type X, indcocat X, is bounded above by an expression involving the inductive cocategory of the p-localisations of X. Also, we show that the inductive cocategory is generic for 1-connected H 0-spaces of finite type. Our arguments are the dualisation of classical results due to Ganea that allow us to improve previous results by Cornea and Stanley on LS category.

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Authors and Affiliations

  1. Dep. de Computación, Álxebra, Universidade da Coruña, Campus de Elviña, s/n, 15071, A Coruña, Spain

    Cristina Costoya

  2. Dep. de Álgebra, Geometría y Topología, Universidad de Málaga, Campus de Teatinos, 29071, Málaga, Spain

    Antonio Viruel

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  1. Cristina Costoya
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  2. Antonio Viruel
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Correspondence to Antonio Viruel.

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Costoya, C., Viruel, A. Inductive LS cocategory and localisation. manuscripta math. 140, 295–302 (2013). https://doi.org/10.1007/s00229-012-0542-5

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  • DOI: https://doi.org/10.1007/s00229-012-0542-5

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