Geodesic
Connected covers and Neisendorfer's localization theorem
Fundamenta Mathematicae, Tome 152 (1997) no. 3, pp. 211-230.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

Our point of departure is J. Neisendorfer's localization theorem which reveals a subtle connection between some simply connected finite complexes and their connected covers. We show that even though the connected covers do not forget that they came from a finite complex their homotopy-theoretic properties are drastically different from those of finite complexes. For instance, connected covers of finite complexes may have uncountable genus or nontrivial SNT sets, their Lusternik-Schnirelmann category may be infinite, and they may serve as domains for nontrivial phantom maps.
DOI : 10.4064/fm-152-3-211-230

C. A. McGibbon 1 ; J. M. Møller 1

1 
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C. A. McGibbon; J. M. Møller. Connected covers and Neisendorfer's localization theorem. Fundamenta Mathematicae, Tome 152 (1997) no. 3, pp. 211-230. doi : 10.4064/fm-152-3-211-230. http://geodesic.mathdoc.fr/articles/10.4064/fm-152-3-211-230/

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