Inductive LS cocategory and localisation

Cristina Costoya; Antonio Viruel

Inductive LS cocategory and localisation

Algebraic Topology 2011-07-19 v1

Authors: Cristina Costoya , Antonio Viruel

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.

Cite

@article{arxiv.1107.3221,
  title  = {Inductive LS cocategory and localisation},
  author = {Cristina Costoya and Antonio Viruel},
  journal= {arXiv preprint arXiv:1107.3221},
  year   = {2011}
}

Comments

9 pages, no figures

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