Geodesic
A note on singular homology groups of infinite products of compacta
Kazuhiro Kawamura1
1 Institute of Mathematics University of Tsukuba Tsukuba, Ibaraki 305-8071, Japan
Fundamenta Mathematicae, Tome 175 (2002) no. 3, pp. 285-289

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

Let $n$ be an integer with $n \geq 2$ and $\{X_{i}\}$ be an infinite collection of $(n-1)$-connected continua. We compare the homotopy groups of ${\mit\Sigma} (\prod _{i}X_{i})$ with those of $\prod _{i}{\mit\Sigma} X_{i}$ (${\mit\Sigma}$ denotes the unreduced suspension) via the Freudenthal Suspension Theorem. An application to homology groups of the countable product of the $n( \geq 2)$-sphere is given.
DOI : 10.4064/fm175-3-5
Keywords: integer geq infinite collection n connected continua compare homotopy groups mit sigma prod those prod mit sigma mit sigma denotes unreduced suspension via freudenthal suspension theorem application homology groups countable product geq sphere given

Kazuhiro Kawamura 1

1 Institute of Mathematics University of Tsukuba Tsukuba, Ibaraki 305-8071, Japan 
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Kazuhiro Kawamura. A note on singular homology groups of
 infinite products of compacta. Fundamenta Mathematicae, Tome 175 (2002) no. 3, pp. 285-289. doi: 10.4064/fm175-3-5

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