A note on singular homology groups of infinite products of compacta

Kazuhiro Kawamura

Fundamenta Mathematicae, Tome 173 (2002), p. 285-289 / Harvested from The Polish Digital Mathematics Library

Résumé

Let n be an integer with n ≥ 2 and $X_{i}$ be an infinite collection of (n-1)-connected continua. We compare the homotopy groups of $Σ (\prod_{i} X_{i})$ with those of $\prod_{i} Σ X_{i}$ (Σ denotes the unreduced suspension) via the Freudenthal Suspension Theorem. An application to homology groups of the countable product of the n(≥ 2)-sphere is given.

Publié le : 2002-01-01

Zbl 1014.55003

EUDML-ID : urn:eudml:doc:282938

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     year = {2002},
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     language = {en},
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Kazuhiro Kawamura. A note on singular homology groups of infinite products of compacta. Fundamenta Mathematicae, Tome 173 (2002) pp. 285-289. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm175-3-5/