Geodesic
Homotopy and homology groups of the n-dimensional Hawaiian earring
Fundamenta Mathematicae, Tome 165 (2000) no. 1, pp. 17-28.

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For the n-dimensional Hawaiian earring $ℍ_n,$ n ≥ 2, $π _n(ℍ_n,o)≃ ℤ^ω$ and $π_i(ℍ_n, o)$ is trivial for each 1 ≤ i ≤ n - 1. Let CX be the cone over a space X and CX ∨ CY be the one-point union with two points of the base spaces X and Y being identified to a point. Then $H_n(X∨Y) ≃ H_{n}(X) ⊕ H_n(Y) ⊕ H_{n}(CX∨CY)$ for n ≥ 1.
DOI : 10.4064/fm-165-1-17-28
Keywords: homology group, Čech homotopy group, n-dimensional Hawaiian earring

Katsuya Eda 1 ; Kazuhiro Kawamura 1

1 
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Katsuya Eda; Kazuhiro Kawamura. Homotopy and homology groups of the n-dimensional Hawaiian earring. Fundamenta Mathematicae, Tome 165 (2000) no. 1, pp. 17-28. doi : 10.4064/fm-165-1-17-28. http://geodesic.mathdoc.fr/articles/10.4064/fm-165-1-17-28/

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