Homotopy and homology groups of the n-dimensional Hawaiian earring

Eda Katsuya; Kazuhiro Kawamura

Homotopy and homology groups of the n-dimensional Hawaiian earring

Eda Katsuya^*, Kazuhiro Kawamura

^*この研究の対応する著者

研究成果: Article › 査読

15 被引用数 (Scopus)

抄録

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 CXVCY be the one-point union with two points of the base spaces X and Y being identified to a point. Then H_n(X V Y) ≃ H_n(X) ⊕ H_n(Y) ⊕ H_n(CX V CY) for n ≥ 1.

本文言語	English
ページ（範囲）	17-28
ページ数	12
ジャーナル	Fundamenta Mathematicae
巻	165
号	1
出版ステータス	Published - 2000

ASJC Scopus subject areas

代数と数論

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AB - 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 CXVCY be the one-point union with two points of the base spaces X and Y being identified to a point. Then Hn(X V Y) ≃ Hn(X) ⊕ Hn(Y) ⊕ Hn(CX V CY) for n ≥ 1.

KW - Cech homotopy group

KW - Homology group

KW - n-dimensional Hawaiian earring

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Homotopy and homology groups of the n-dimensional Hawaiian earring

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