A note on singular homology groups of infinite products of compacta

Kazuhiro Kawamura. "A note on singular homology groups of infinite products of compacta." Fundamenta Mathematicae 175.3 (2002): 285-289. <http://eudml.org/doc/282938>.

@article{KazuhiroKawamura2002,
abstract = {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 $Σ(∏_\{i\}X_\{i\})$ with those of $∏_\{i\}ΣX_\{i\}$ (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.},
author = {Kazuhiro Kawamura},
journal = {Fundamenta Mathematicae},
keywords = {metric space; singular homology group; homotopy group; suspension; countable product; -sphere},
language = {eng},
number = {3},
pages = {285-289},
title = {A note on singular homology groups of infinite products of compacta},
url = {http://eudml.org/doc/282938},
volume = {175},
year = {2002},
}

TY - JOUR
AU - Kazuhiro Kawamura
TI - A note on singular homology groups of infinite products of compacta
JO - Fundamenta Mathematicae
PY - 2002
VL - 175
IS - 3
SP - 285
EP - 289
AB - 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 $Σ(∏_{i}X_{i})$ with those of $∏_{i}ΣX_{i}$ (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.
LA - eng
KW - metric space; singular homology group; homotopy group; suspension; countable product; -sphere
UR - http://eudml.org/doc/282938
ER -