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 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.
@article{bwmeta1.element.bwnjournal-article-fmv161i1p17bwm,
author = {Dominique Arlettaz and Nicole Pointet-Tischler},
title = {Postnikov invariants of H-spaces},
journal = {Fundamenta Mathematicae},
volume = {159},
year = {1999},
pages = {17-35},
zbl = {0947.55019},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-fmv161i1p17bwm}
}
Arlettaz, Dominique; Pointet-Tischler, Nicole. Postnikov invariants of H-spaces. Fundamenta Mathematicae, Tome 159 (1999) pp. 17-35. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-fmv161i1p17bwm/
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