Inductive LS cocategory and localisation

Details Inductive LS cocategory and localisation Inductive LS cocategory and localisation

2011-07-16

arxiv.org/abs/1107.3221v1

Mathematics

Algebraic Topology

9 pages, no figures

Scientific paper

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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