Geodesic
Postnikov invariants of H-spaces
Fundamenta Mathematicae, Tome 161 (1999) no. 1, pp. 17-35.

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

It is known that the order of all Postnikov $k$-invariants of an H-space of finite type is finite. This paper establishes the finiteness of the order of the $k$-invariants $k^{m+1}(X)$ of $X$ in dimensions $m ≤ 2n$ if $X$ is an $(n-1)$-connected H-space which is not necessarily of finite type $(n ≥ 1)$. Similar results hold more generally for higher k-invariants if $X$ is an iterated loop space. Moreover, we provide in all cases explicit universal upper bounds for the order of the k-invariants of $X$.
DOI : 10.4064/fm-161-1-2-17-35

Dominique Arlettaz 1 ; Nicole Pointet-Tischler 1

1 
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Dominique Arlettaz; Nicole Pointet-Tischler. Postnikov invariants of H-spaces. Fundamenta Mathematicae, Tome 161 (1999) no. 1, pp. 17-35. doi : 10.4064/fm-161-1-2-17-35. http://geodesic.mathdoc.fr/articles/10.4064/fm-161-1-2-17-35/

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