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. 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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