Inductive LS cocategory and localisation

Cristina Costoya; Antonio Viruel

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arXiv · 1107.3221

Inductive LS cocategory and localisation

Cristina Costoya·Antonio Viruel

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Abstract

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 $X$. Our arguments can be dualised to LS category improving previous results by Cornea and Stanley. Finally, we show that the inductive cocategory is generic for 1-connected $H_0$-spaces of finite type.

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Cristina Costoya, Antonio Viruel. 2011-07-16. Inductive LS cocategory and localisation. https://arxiv.org/abs/1107.3221

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