Homotopy and homology groups of the n-dimensional Hawaiian earring
Eda, Katsuya ; Kawamura, Kazuhiro
Fundamenta Mathematicae, Tome 163 (2000), p. 17-28 / Harvested from The Polish Digital Mathematics Library
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For the n-dimensional Hawaiian earring ℍn, n ≥ 2, πn(ℍn,o)≃ℤω and πi(ℍn,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 Hn(X∨Y)≃Hn(X)⊕Hn(Y)⊕Hn(CX∨CY) for n ≥ 1.

Publié le : 2000-01-01
EUDML-ID : urn:eudml:doc:212457 
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Eda, Katsuya; Kawamura, Kazuhiro. Homotopy and homology groups of the n-dimensional Hawaiian earring. Fundamenta Mathematicae, Tome 163 (2000) pp. 17-28. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-fmv165i1p17bwm/

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